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Finding the Fourth Proportional to 83,147.60, 114,776.52 and 51,329.36

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Solution

The fourth proportional to 83,147.60, 114,776.52 and 51,329.36 is: 70,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.60 : 114,776.52 = 51,329.36 : x
  2. Step 2: Convert to fraction form
    83,147.60/114,776.52 = 51,329.36/x
  3. Step 3: Cross multiply
    83,147.60x = 114,776.52 × 51,329.36
  4. Step 4: Simplify right side
    83,147.60x = 5,891,405,314.63
  5. Step 5: Solve for x
    x = 5,891,405,314.63/83,147.60
  6. Step 6: Final answer
    x = 70,854.78

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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.