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Finding the Fourth Proportional to 52,182.60, 72,012 and 29,521.14

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Solution

The fourth proportional to 52,182.60, 72,012 and 29,521.14 is: 40,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,182.60 : 72,012 = 29,521.14 : x
  2. Step 2: Convert to fraction form
    52,182.60/72,012 = 29,521.14/x
  3. Step 3: Cross multiply
    52,182.60x = 72,012 × 29,521.14
  4. Step 4: Simplify right side
    52,182.60x = 2,125,876,333.68
  5. Step 5: Solve for x
    x = 2,125,876,333.68/52,182.60
  6. Step 6: Final answer
    x = 40,739.18

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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.