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Finding the Fourth Proportional to 27,177.60, 40,758.48 and 14,034

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Solution

The fourth proportional to 27,177.60, 40,758.48 and 14,034 is: 21,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.60 : 40,758.48 = 14,034 : x
  2. Step 2: Convert to fraction form
    27,177.60/40,758.48 = 14,034/x
  3. Step 3: Cross multiply
    27,177.60x = 40,758.48 × 14,034
  4. Step 4: Simplify right side
    27,177.60x = 572,004,508.32
  5. Step 5: Solve for x
    x = 572,004,508.32/27,177.60
  6. Step 6: Final answer
    x = 21,046.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.