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Finding the Fourth Proportional to 32,049.48, 48,078.78 and 9,864.71

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Solution

The fourth proportional to 32,049.48, 48,078.78 and 9,864.71 is: 14,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.48 : 48,078.78 = 9,864.71 : x
  2. Step 2: Convert to fraction form
    32,049.48/48,078.78 = 9,864.71/x
  3. Step 3: Cross multiply
    32,049.48x = 48,078.78 × 9,864.71
  4. Step 4: Simplify right side
    32,049.48x = 474,283,221.85
  5. Step 5: Solve for x
    x = 474,283,221.85/32,049.48
  6. Step 6: Final answer
    x = 14,798.47

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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.