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Finding the Fourth Proportional to 52,210.44, 72,049.14 and 29,853

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Solution

The fourth proportional to 52,210.44, 72,049.14 and 29,853 is: 41,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,210.44 : 72,049.14 = 29,853 : x
  2. Step 2: Convert to fraction form
    52,210.44/72,049.14 = 29,853/x
  3. Step 3: Cross multiply
    52,210.44x = 72,049.14 × 29,853
  4. Step 4: Simplify right side
    52,210.44x = 2,150,882,976.42
  5. Step 5: Solve for x
    x = 2,150,882,976.42/52,210.44
  6. Step 6: Final answer
    x = 41,196.42

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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.