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Finding the Fourth Proportional to 32,065.96, 47,841.41 and 28,748.20

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Solution

The fourth proportional to 32,065.96, 47,841.41 and 28,748.20 is: 42,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.96 : 47,841.41 = 28,748.20 : x
  2. Step 2: Convert to fraction form
    32,065.96/47,841.41 = 28,748.20/x
  3. Step 3: Cross multiply
    32,065.96x = 47,841.41 × 28,748.20
  4. Step 4: Simplify right side
    32,065.96x = 1,375,354,422.96
  5. Step 5: Solve for x
    x = 1,375,354,422.96/32,065.96
  6. Step 6: Final answer
    x = 42,891.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.