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Finding the Fourth Proportional to 52,478.17, 72,419.89 and 29,817.19

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Solution

The fourth proportional to 52,478.17, 72,419.89 and 29,817.19 is: 41,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,478.17 : 72,419.89 = 29,817.19 : x
  2. Step 2: Convert to fraction form
    52,478.17/72,419.89 = 29,817.19/x
  3. Step 3: Cross multiply
    52,478.17x = 72,419.89 × 29,817.19
  4. Step 4: Simplify right side
    52,478.17x = 2,159,357,362.33
  5. Step 5: Solve for x
    x = 2,159,357,362.33/52,478.17
  6. Step 6: Final answer
    x = 41,147.73

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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.