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Finding the Fourth Proportional to 83,857.60, 115,729.12 and 46,134.28

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Solution

The fourth proportional to 83,857.60, 115,729.12 and 46,134.28 is: 63,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,857.60 : 115,729.12 = 46,134.28 : x
  2. Step 2: Convert to fraction form
    83,857.60/115,729.12 = 46,134.28/x
  3. Step 3: Cross multiply
    83,857.60x = 115,729.12 × 46,134.28
  4. Step 4: Simplify right side
    83,857.60x = 5,339,079,626.23
  5. Step 5: Solve for x
    x = 5,339,079,626.23/83,857.60
  6. Step 6: Final answer
    x = 63,668.40

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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.