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Finding the Fourth Proportional to 67,829.88, 101,646.18 and 32,728.44

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Solution

The fourth proportional to 67,829.88, 101,646.18 and 32,728.44 is: 49,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,829.88 : 101,646.18 = 32,728.44 : x
  2. Step 2: Convert to fraction form
    67,829.88/101,646.18 = 32,728.44/x
  3. Step 3: Cross multiply
    67,829.88x = 101,646.18 × 32,728.44
  4. Step 4: Simplify right side
    67,829.88x = 3,326,720,903.36
  5. Step 5: Solve for x
    x = 3,326,720,903.36/67,829.88
  6. Step 6: Final answer
    x = 49,045.07

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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.