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Finding the Fourth Proportional to 67,488.24, 101,233.80 and 23,166

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Solution

The fourth proportional to 67,488.24, 101,233.80 and 23,166 is: 34,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,488.24 : 101,233.80 = 23,166 : x
  2. Step 2: Convert to fraction form
    67,488.24/101,233.80 = 23,166/x
  3. Step 3: Cross multiply
    67,488.24x = 101,233.80 × 23,166
  4. Step 4: Simplify right side
    67,488.24x = 2,345,182,210.80
  5. Step 5: Solve for x
    x = 2,345,182,210.80/67,488.24
  6. Step 6: Final answer
    x = 34,749.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.