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Finding the Fourth Proportional to 32.30, 48.50 and 24.74

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Solution

The fourth proportional to 32.30, 48.50 and 24.74 is: 37.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.30 : 48.50 = 24.74 : x
  2. Step 2: Convert to fraction form
    32.30/48.50 = 24.74/x
  3. Step 3: Cross multiply
    32.30x = 48.50 × 24.74
  4. Step 4: Simplify right side
    32.30x = 1,199.89
  5. Step 5: Solve for x
    x = 1,199.89/32.30
  6. Step 6: Final answer
    x = 37.15

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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.