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Finding the Fourth Proportional to 67,920.66, 101,882.16 and 23,548.86

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Solution

The fourth proportional to 67,920.66, 101,882.16 and 23,548.86 is: 35,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,920.66 : 101,882.16 = 23,548.86 : x
  2. Step 2: Convert to fraction form
    67,920.66/101,882.16 = 23,548.86/x
  3. Step 3: Cross multiply
    67,920.66x = 101,882.16 × 23,548.86
  4. Step 4: Simplify right side
    67,920.66x = 2,399,208,722.34
  5. Step 5: Solve for x
    x = 2,399,208,722.34/67,920.66
  6. Step 6: Final answer
    x = 35,323.70

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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.