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Finding the Fourth Proportional to 30,496,322.90, 45,702,493.95 and 20,232,002.90

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Solution

The fourth proportional to 30,496,322.90, 45,702,493.95 and 20,232,002.90 is: 30,320,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496,322.90 : 45,702,493.95 = 20,232,002.90 : x
  2. Step 2: Convert to fraction form
    30,496,322.90/45,702,493.95 = 20,232,002.90/x
  3. Step 3: Cross multiply
    30,496,322.90x = 45,702,493.95 × 20,232,002.90
  4. Step 4: Simplify right side
    30,496,322.90x = 924,652,990,133,632.50
  5. Step 5: Solve for x
    x = 924,652,990,133,632.50/30,496,322.90
  6. Step 6: Final answer
    x = 30,320,146.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.