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Finding the Fourth Proportional to 32.47, 48.49 and 30.71

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Solution

The fourth proportional to 32.47, 48.49 and 30.71 is: 45.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.47 : 48.49 = 30.71 : x
  2. Step 2: Convert to fraction form
    32.47/48.49 = 30.71/x
  3. Step 3: Cross multiply
    32.47x = 48.49 × 30.71
  4. Step 4: Simplify right side
    32.47x = 1,489.17
  5. Step 5: Solve for x
    x = 1,489.17/32.47
  6. Step 6: Final answer
    x = 45.87

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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.