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Finding the Fourth Proportional to 83,506, 115,238.28 and 45,780.52

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Solution

The fourth proportional to 83,506, 115,238.28 and 45,780.52 is: 63,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506 : 115,238.28 = 45,780.52 : x
  2. Step 2: Convert to fraction form
    83,506/115,238.28 = 45,780.52/x
  3. Step 3: Cross multiply
    83,506x = 115,238.28 × 45,780.52
  4. Step 4: Simplify right side
    83,506x = 5,275,668,382.31
  5. Step 5: Solve for x
    x = 5,275,668,382.31/83,506
  6. Step 6: Final answer
    x = 63,177.12

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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.