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Finding the Fourth Proportional to 67,514.34, 101,145.74 and 42,221.69

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Solution

The fourth proportional to 67,514.34, 101,145.74 and 42,221.69 is: 63,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,514.34 : 101,145.74 = 42,221.69 : x
  2. Step 2: Convert to fraction form
    67,514.34/101,145.74 = 42,221.69/x
  3. Step 3: Cross multiply
    67,514.34x = 101,145.74 × 42,221.69
  4. Step 4: Simplify right side
    67,514.34x = 4,270,543,362.26
  5. Step 5: Solve for x
    x = 4,270,543,362.26/67,514.34
  6. Step 6: Final answer
    x = 63,253.87

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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.