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Finding the Fourth Proportional to 32.80, 49.10 and 24.76

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Solution

The fourth proportional to 32.80, 49.10 and 24.76 is: 37.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.80 : 49.10 = 24.76 : x
  2. Step 2: Convert to fraction form
    32.80/49.10 = 24.76/x
  3. Step 3: Cross multiply
    32.80x = 49.10 × 24.76
  4. Step 4: Simplify right side
    32.80x = 1,215.72
  5. Step 5: Solve for x
    x = 1,215.72/32.80
  6. Step 6: Final answer
    x = 37.06

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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.