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Finding the Fourth Proportional to 52.33, 78.47 and 24.50

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Solution

The fourth proportional to 52.33, 78.47 and 24.50 is: 36.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.33 : 78.47 = 24.50 : x
  2. Step 2: Convert to fraction form
    52.33/78.47 = 24.50/x
  3. Step 3: Cross multiply
    52.33x = 78.47 × 24.50
  4. Step 4: Simplify right side
    52.33x = 1,922.74
  5. Step 5: Solve for x
    x = 1,922.74/52.33
  6. Step 6: Final answer
    x = 36.74

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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.