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Finding the Fourth Proportional to 67,961.71, 102,004.84 and 36,407.40

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Solution

The fourth proportional to 67,961.71, 102,004.84 and 36,407.40 is: 54,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,961.71 : 102,004.84 = 36,407.40 : x
  2. Step 2: Convert to fraction form
    67,961.71/102,004.84 = 36,407.40/x
  3. Step 3: Cross multiply
    67,961.71x = 102,004.84 × 36,407.40
  4. Step 4: Simplify right side
    67,961.71x = 3,713,730,948.90
  5. Step 5: Solve for x
    x = 3,713,730,948.90/67,961.71
  6. Step 6: Final answer
    x = 54,644.46

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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.