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Finding the Fourth Proportional to 83,238.30, 114,869.30 and 45,512.55

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Solution

The fourth proportional to 83,238.30, 114,869.30 and 45,512.55 is: 62,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238.30 : 114,869.30 = 45,512.55 : x
  2. Step 2: Convert to fraction form
    83,238.30/114,869.30 = 45,512.55/x
  3. Step 3: Cross multiply
    83,238.30x = 114,869.30 × 45,512.55
  4. Step 4: Simplify right side
    83,238.30x = 5,227,994,532.15
  5. Step 5: Solve for x
    x = 5,227,994,532.15/83,238.30
  6. Step 6: Final answer
    x = 62,807.56

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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.