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Finding the Fourth Proportional to 32.48, 49 and 31.52

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Solution

The fourth proportional to 32.48, 49 and 31.52 is: 47.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.48 : 49 = 31.52 : x
  2. Step 2: Convert to fraction form
    32.48/49 = 31.52/x
  3. Step 3: Cross multiply
    32.48x = 49 × 31.52
  4. Step 4: Simplify right side
    32.48x = 1,544.48
  5. Step 5: Solve for x
    x = 1,544.48/32.48
  6. Step 6: Final answer
    x = 47.55

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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.