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Finding the Fourth Proportional to 74,943.20, 112,414.80 and 19,539.20

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Solution

The fourth proportional to 74,943.20, 112,414.80 and 19,539.20 is: 29,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,943.20 : 112,414.80 = 19,539.20 : x
  2. Step 2: Convert to fraction form
    74,943.20/112,414.80 = 19,539.20/x
  3. Step 3: Cross multiply
    74,943.20x = 112,414.80 × 19,539.20
  4. Step 4: Simplify right side
    74,943.20x = 2,196,495,260.16
  5. Step 5: Solve for x
    x = 2,196,495,260.16/74,943.20
  6. Step 6: Final answer
    x = 29,308.80

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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.