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Finding the Fourth Proportional to 67,758.31, 101,646.80 and 22,783.15

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Solution

The fourth proportional to 67,758.31, 101,646.80 and 22,783.15 is: 34,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,758.31 : 101,646.80 = 22,783.15 : x
  2. Step 2: Convert to fraction form
    67,758.31/101,646.80 = 22,783.15/x
  3. Step 3: Cross multiply
    67,758.31x = 101,646.80 × 22,783.15
  4. Step 4: Simplify right side
    67,758.31x = 2,315,834,291.42
  5. Step 5: Solve for x
    x = 2,315,834,291.42/67,758.31
  6. Step 6: Final answer
    x = 34,177.86

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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.