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Finding the Fourth Proportional to 78,294.57, 108,046.11 and 42,484.50

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Solution

The fourth proportional to 78,294.57, 108,046.11 and 42,484.50 is: 58,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294.57 : 108,046.11 = 42,484.50 : x
  2. Step 2: Convert to fraction form
    78,294.57/108,046.11 = 42,484.50/x
  3. Step 3: Cross multiply
    78,294.57x = 108,046.11 × 42,484.50
  4. Step 4: Simplify right side
    78,294.57x = 4,590,284,960.30
  5. Step 5: Solve for x
    x = 4,590,284,960.30/78,294.57
  6. Step 6: Final answer
    x = 58,628.39

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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.