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Finding the Fourth Proportional to 30,649.50, 45,985.32 and 15,078.06

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Solution

The fourth proportional to 30,649.50, 45,985.32 and 15,078.06 is: 22,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.50 : 45,985.32 = 15,078.06 : x
  2. Step 2: Convert to fraction form
    30,649.50/45,985.32 = 15,078.06/x
  3. Step 3: Cross multiply
    30,649.50x = 45,985.32 × 15,078.06
  4. Step 4: Simplify right side
    30,649.50x = 693,369,414.08
  5. Step 5: Solve for x
    x = 693,369,414.08/30,649.50
  6. Step 6: Final answer
    x = 22,622.54

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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.