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Finding the Fourth Proportional to 52,407.20, 78,610.80 and 42,039.20

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Solution

The fourth proportional to 52,407.20, 78,610.80 and 42,039.20 is: 63,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.20 : 78,610.80 = 42,039.20 : x
  2. Step 2: Convert to fraction form
    52,407.20/78,610.80 = 42,039.20/x
  3. Step 3: Cross multiply
    52,407.20x = 78,610.80 × 42,039.20
  4. Step 4: Simplify right side
    52,407.20x = 3,304,735,143.36
  5. Step 5: Solve for x
    x = 3,304,735,143.36/52,407.20
  6. Step 6: Final answer
    x = 63,058.80

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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.