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Finding the Fourth Proportional to 39,515.76, 54,585 and 31,614.48

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Solution

The fourth proportional to 39,515.76, 54,585 and 31,614.48 is: 43,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,515.76 : 54,585 = 31,614.48 : x
  2. Step 2: Convert to fraction form
    39,515.76/54,585 = 31,614.48/x
  3. Step 3: Cross multiply
    39,515.76x = 54,585 × 31,614.48
  4. Step 4: Simplify right side
    39,515.76x = 1,725,676,390.80
  5. Step 5: Solve for x
    x = 1,725,676,390.80/39,515.76
  6. Step 6: Final answer
    x = 43,670.59

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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.