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Finding the Fourth Proportional to 43,698.53, 65,531.10 and 15,613.31

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Solution

The fourth proportional to 43,698.53, 65,531.10 and 15,613.31 is: 23,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,698.53 : 65,531.10 = 15,613.31 : x
  2. Step 2: Convert to fraction form
    43,698.53/65,531.10 = 15,613.31/x
  3. Step 3: Cross multiply
    43,698.53x = 65,531.10 × 15,613.31
  4. Step 4: Simplify right side
    43,698.53x = 1,023,157,378.94
  5. Step 5: Solve for x
    x = 1,023,157,378.94/43,698.53
  6. Step 6: Final answer
    x = 23,414.00

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Why These Related Problems?

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