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Finding the Fourth Proportional to 32.47, 48.90 and 32.23

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Solution

The fourth proportional to 32.47, 48.90 and 32.23 is: 48.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.47 : 48.90 = 32.23 : x
  2. Step 2: Convert to fraction form
    32.47/48.90 = 32.23/x
  3. Step 3: Cross multiply
    32.47x = 48.90 × 32.23
  4. Step 4: Simplify right side
    32.47x = 1,576.23
  5. Step 5: Solve for x
    x = 1,576.23/32.47
  6. Step 6: Final answer
    x = 48.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.