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Finding the Fourth Proportional to 42,039.36, 63,061.92 and 12,456

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Solution

The fourth proportional to 42,039.36, 63,061.92 and 12,456 is: 18,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,039.36 : 63,061.92 = 12,456 : x
  2. Step 2: Convert to fraction form
    42,039.36/63,061.92 = 12,456/x
  3. Step 3: Cross multiply
    42,039.36x = 63,061.92 × 12,456
  4. Step 4: Simplify right side
    42,039.36x = 785,499,275.52
  5. Step 5: Solve for x
    x = 785,499,275.52/42,039.36
  6. Step 6: Final answer
    x = 18,684.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.