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Finding the Fourth Proportional to 48,514.71, 66,950.20 and 27,294

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Solution

The fourth proportional to 48,514.71, 66,950.20 and 27,294 is: 37,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,514.71 : 66,950.20 = 27,294 : x
  2. Step 2: Convert to fraction form
    48,514.71/66,950.20 = 27,294/x
  3. Step 3: Cross multiply
    48,514.71x = 66,950.20 × 27,294
  4. Step 4: Simplify right side
    48,514.71x = 1,827,338,758.80
  5. Step 5: Solve for x
    x = 1,827,338,758.80/48,514.71
  6. Step 6: Final answer
    x = 37,665.66

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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.