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Finding the Fourth Proportional to 78,374.92, 108,157 and 42,564.64

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Solution

The fourth proportional to 78,374.92, 108,157 and 42,564.64 is: 58,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374.92 : 108,157 = 42,564.64 : x
  2. Step 2: Convert to fraction form
    78,374.92/108,157 = 42,564.64/x
  3. Step 3: Cross multiply
    78,374.92x = 108,157 × 42,564.64
  4. Step 4: Simplify right side
    78,374.92x = 4,603,663,768.48
  5. Step 5: Solve for x
    x = 4,603,663,768.48/78,374.92
  6. Step 6: Final answer
    x = 58,738.99

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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.