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Finding the Fourth Proportional to 73,702.87, 101,712.68 and 41,877.16

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Solution

The fourth proportional to 73,702.87, 101,712.68 and 41,877.16 is: 57,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.87 : 101,712.68 = 41,877.16 : x
  2. Step 2: Convert to fraction form
    73,702.87/101,712.68 = 41,877.16/x
  3. Step 3: Cross multiply
    73,702.87x = 101,712.68 × 41,877.16
  4. Step 4: Simplify right side
    73,702.87x = 4,259,437,867.76
  5. Step 5: Solve for x
    x = 4,259,437,867.76/73,702.87
  6. Step 6: Final answer
    x = 57,792.02

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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.