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Finding the Fourth Proportional to 83,465.31, 125,218.50 and 24,301.53

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Solution

The fourth proportional to 83,465.31, 125,218.50 and 24,301.53 is: 36,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,465.31 : 125,218.50 = 24,301.53 : x
  2. Step 2: Convert to fraction form
    83,465.31/125,218.50 = 24,301.53/x
  3. Step 3: Cross multiply
    83,465.31x = 125,218.50 × 24,301.53
  4. Step 4: Simplify right side
    83,465.31x = 3,043,001,134.31
  5. Step 5: Solve for x
    x = 3,043,001,134.31/83,465.31
  6. Step 6: Final answer
    x = 36,458.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.