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Finding the Fourth Proportional to 32,642.56, 48,883.68 and 15,948.78

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Solution

The fourth proportional to 32,642.56, 48,883.68 and 15,948.78 is: 23,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.56 : 48,883.68 = 15,948.78 : x
  2. Step 2: Convert to fraction form
    32,642.56/48,883.68 = 15,948.78/x
  3. Step 3: Cross multiply
    32,642.56x = 48,883.68 × 15,948.78
  4. Step 4: Simplify right side
    32,642.56x = 779,635,057.91
  5. Step 5: Solve for x
    x = 779,635,057.91/32,642.56
  6. Step 6: Final answer
    x = 23,884.00

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1.5x scale

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.