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Finding the Fourth Proportional to 81,572.86, 112,575.18 and 45,766

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Solution

The fourth proportional to 81,572.86, 112,575.18 and 45,766 is: 63,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,572.86 : 112,575.18 = 45,766 : x
  2. Step 2: Convert to fraction form
    81,572.86/112,575.18 = 45,766/x
  3. Step 3: Cross multiply
    81,572.86x = 112,575.18 × 45,766
  4. Step 4: Simplify right side
    81,572.86x = 5,152,115,687.88
  5. Step 5: Solve for x
    x = 5,152,115,687.88/81,572.86
  6. Step 6: Final answer
    x = 63,159.68

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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.