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Finding the Fourth Proportional to 32.47, 48.71 and 9.65

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Solution

The fourth proportional to 32.47, 48.71 and 9.65 is: 14.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.47 : 48.71 = 9.65 : x
  2. Step 2: Convert to fraction form
    32.47/48.71 = 9.65/x
  3. Step 3: Cross multiply
    32.47x = 48.71 × 9.65
  4. Step 4: Simplify right side
    32.47x = 469.90
  5. Step 5: Solve for x
    x = 469.90/32.47
  6. Step 6: Final answer
    x = 14.47

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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.