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Finding the Fourth Proportional to 32.49, 49.02 and 31.24

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Solution

The fourth proportional to 32.49, 49.02 and 31.24 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.49 : 49.02 = 31.24 : x
  2. Step 2: Convert to fraction form
    32.49/49.02 = 31.24/x
  3. Step 3: Cross multiply
    32.49x = 49.02 × 31.24
  4. Step 4: Simplify right side
    32.49x = 1,531.38
  5. Step 5: Solve for x
    x = 1,531.38/32.49
  6. Step 6: Final answer
    x = 47.13

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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.