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Finding the Fourth Proportional to 76,602.25, 105,717.50 and 42,617.14

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Solution

The fourth proportional to 76,602.25, 105,717.50 and 42,617.14 is: 58,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602.25 : 105,717.50 = 42,617.14 : x
  2. Step 2: Convert to fraction form
    76,602.25/105,717.50 = 42,617.14/x
  3. Step 3: Cross multiply
    76,602.25x = 105,717.50 × 42,617.14
  4. Step 4: Simplify right side
    76,602.25x = 4,505,377,549.16
  5. Step 5: Solve for x
    x = 4,505,377,549.16/76,602.25
  6. Step 6: Final answer
    x = 58,815.21

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