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Finding the Fourth Proportional to 78,322.90, 108,085.23 and 42,512.61

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Solution

The fourth proportional to 78,322.90, 108,085.23 and 42,512.61 is: 58,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,322.90 : 108,085.23 = 42,512.61 : x
  2. Step 2: Convert to fraction form
    78,322.90/108,085.23 = 42,512.61/x
  3. Step 3: Cross multiply
    78,322.90x = 108,085.23 × 42,512.61
  4. Step 4: Simplify right side
    78,322.90x = 4,594,985,229.75
  5. Step 5: Solve for x
    x = 4,594,985,229.75/78,322.90
  6. Step 6: Final answer
    x = 58,667.20

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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.