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Finding the Fourth Proportional to 84,107.49, 126,139.71 and 24,929.32

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Solution

The fourth proportional to 84,107.49, 126,139.71 and 24,929.32 is: 37,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,107.49 : 126,139.71 = 24,929.32 : x
  2. Step 2: Convert to fraction form
    84,107.49/126,139.71 = 24,929.32/x
  3. Step 3: Cross multiply
    84,107.49x = 126,139.71 × 24,929.32
  4. Step 4: Simplify right side
    84,107.49x = 3,144,577,517.03
  5. Step 5: Solve for x
    x = 3,144,577,517.03/84,107.49
  6. Step 6: Final answer
    x = 37,387.60

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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.