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Finding the Fourth Proportional to 32.59, 49.07 and 24.64

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Solution

The fourth proportional to 32.59, 49.07 and 24.64 is: 37.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.59 : 49.07 = 24.64 : x
  2. Step 2: Convert to fraction form
    32.59/49.07 = 24.64/x
  3. Step 3: Cross multiply
    32.59x = 49.07 × 24.64
  4. Step 4: Simplify right side
    32.59x = 1,209.08
  5. Step 5: Solve for x
    x = 1,209.08/32.59
  6. Step 6: Final answer
    x = 37.10

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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.