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Finding the Fourth Proportional to 34.42, 47.58 and 32.52

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Solution

The fourth proportional to 34.42, 47.58 and 32.52 is: 44.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.42 : 47.58 = 32.52 : x
  2. Step 2: Convert to fraction form
    34.42/47.58 = 32.52/x
  3. Step 3: Cross multiply
    34.42x = 47.58 × 32.52
  4. Step 4: Simplify right side
    34.42x = 1,547.30
  5. Step 5: Solve for x
    x = 1,547.30/34.42
  6. Step 6: Final answer
    x = 44.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.