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Finding the Fourth Proportional to 39,712.80, 59,569.20 and 20,029.80

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Solution

The fourth proportional to 39,712.80, 59,569.20 and 20,029.80 is: 30,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,712.80 : 59,569.20 = 20,029.80 : x
  2. Step 2: Convert to fraction form
    39,712.80/59,569.20 = 20,029.80/x
  3. Step 3: Cross multiply
    39,712.80x = 59,569.20 × 20,029.80
  4. Step 4: Simplify right side
    39,712.80x = 1,193,159,162.16
  5. Step 5: Solve for x
    x = 1,193,159,162.16/39,712.80
  6. Step 6: Final answer
    x = 30,044.70

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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.