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Finding the Fourth Proportional to 78,104.66, 107,784.27 and 42,294.56

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Solution

The fourth proportional to 78,104.66, 107,784.27 and 42,294.56 is: 58,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,104.66 : 107,784.27 = 42,294.56 : x
  2. Step 2: Convert to fraction form
    78,104.66/107,784.27 = 42,294.56/x
  3. Step 3: Cross multiply
    78,104.66x = 107,784.27 × 42,294.56
  4. Step 4: Simplify right side
    78,104.66x = 4,558,687,735.65
  5. Step 5: Solve for x
    x = 4,558,687,735.65/78,104.66
  6. Step 6: Final answer
    x = 58,366.40

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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.