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Finding the Fourth Proportional to 83,232.50, 114,860.86 and 45,506.76

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Solution

The fourth proportional to 83,232.50, 114,860.86 and 45,506.76 is: 62,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232.50 : 114,860.86 = 45,506.76 : x
  2. Step 2: Convert to fraction form
    83,232.50/114,860.86 = 45,506.76/x
  3. Step 3: Cross multiply
    83,232.50x = 114,860.86 × 45,506.76
  4. Step 4: Simplify right side
    83,232.50x = 5,226,945,589.41
  5. Step 5: Solve for x
    x = 5,226,945,589.41/83,232.50
  6. Step 6: Final answer
    x = 62,799.33

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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.