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Finding the Fourth Proportional to 42,641.16, 63,983.34 and 28,761

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Solution

The fourth proportional to 42,641.16, 63,983.34 and 28,761 is: 43,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,641.16 : 63,983.34 = 28,761 : x
  2. Step 2: Convert to fraction form
    42,641.16/63,983.34 = 28,761/x
  3. Step 3: Cross multiply
    42,641.16x = 63,983.34 × 28,761
  4. Step 4: Simplify right side
    42,641.16x = 1,840,224,841.74
  5. Step 5: Solve for x
    x = 1,840,224,841.74/42,641.16
  6. Step 6: Final answer
    x = 43,156.07

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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.