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Finding the Fourth Proportional to 32,575.14, 48,862.90 and 9,201.78

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Solution

The fourth proportional to 32,575.14, 48,862.90 and 9,201.78 is: 13,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,575.14 : 48,862.90 = 9,201.78 : x
  2. Step 2: Convert to fraction form
    32,575.14/48,862.90 = 9,201.78/x
  3. Step 3: Cross multiply
    32,575.14x = 48,862.90 × 9,201.78
  4. Step 4: Simplify right side
    32,575.14x = 449,625,655.96
  5. Step 5: Solve for x
    x = 449,625,655.96/32,575.14
  6. Step 6: Final answer
    x = 13,802.72

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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.