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Finding the Fourth Proportional to 75,272, 103,878.72 and 41,737.92

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Solution

The fourth proportional to 75,272, 103,878.72 and 41,737.92 is: 57,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,272 : 103,878.72 = 41,737.92 : x
  2. Step 2: Convert to fraction form
    75,272/103,878.72 = 41,737.92/x
  3. Step 3: Cross multiply
    75,272x = 103,878.72 × 41,737.92
  4. Step 4: Simplify right side
    75,272x = 4,335,681,705.06
  5. Step 5: Solve for x
    x = 4,335,681,705.06/75,272
  6. Step 6: Final answer
    x = 57,600.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.