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Finding the Fourth Proportional to 32,538.52, 48,809.49 and 9,166.78

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Solution

The fourth proportional to 32,538.52, 48,809.49 and 9,166.78 is: 13,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538.52 : 48,809.49 = 9,166.78 : x
  2. Step 2: Convert to fraction form
    32,538.52/48,809.49 = 9,166.78/x
  3. Step 3: Cross multiply
    32,538.52x = 48,809.49 × 9,166.78
  4. Step 4: Simplify right side
    32,538.52x = 447,425,856.74
  5. Step 5: Solve for x
    x = 447,425,856.74/32,538.52
  6. Step 6: Final answer
    x = 13,750.65

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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.