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Finding the Fourth Proportional to 32,689.20, 49,034.28 and 8,065.20

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Solution

The fourth proportional to 32,689.20, 49,034.28 and 8,065.20 is: 12,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689.20 : 49,034.28 = 8,065.20 : x
  2. Step 2: Convert to fraction form
    32,689.20/49,034.28 = 8,065.20/x
  3. Step 3: Cross multiply
    32,689.20x = 49,034.28 × 8,065.20
  4. Step 4: Simplify right side
    32,689.20x = 395,471,275.06
  5. Step 5: Solve for x
    x = 395,471,275.06/32,689.20
  6. Step 6: Final answer
    x = 12,097.92

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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.