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Finding the Fourth Proportional to 92,995.50, 139,493.32 and 30,666

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Solution

The fourth proportional to 92,995.50, 139,493.32 and 30,666 is: 45,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,995.50 : 139,493.32 = 30,666 : x
  2. Step 2: Convert to fraction form
    92,995.50/139,493.32 = 30,666/x
  3. Step 3: Cross multiply
    92,995.50x = 139,493.32 × 30,666
  4. Step 4: Simplify right side
    92,995.50x = 4,277,702,074.46
  5. Step 5: Solve for x
    x = 4,277,702,074.46/92,995.50
  6. Step 6: Final answer
    x = 45,999.02

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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.