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Finding the Fourth Proportional to 78,282, 108,029.43 and 42,472.17

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Solution

The fourth proportional to 78,282, 108,029.43 and 42,472.17 is: 58,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,282 : 108,029.43 = 42,472.17 : x
  2. Step 2: Convert to fraction form
    78,282/108,029.43 = 42,472.17/x
  3. Step 3: Cross multiply
    78,282x = 108,029.43 × 42,472.17
  4. Step 4: Simplify right side
    78,282x = 4,588,244,315.96
  5. Step 5: Solve for x
    x = 4,588,244,315.96/78,282
  6. Step 6: Final answer
    x = 58,611.74

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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.