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Finding the Fourth Proportional to 67,684.30, 101,510 and 28,241.74

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Solution

The fourth proportional to 67,684.30, 101,510 and 28,241.74 is: 42,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,684.30 : 101,510 = 28,241.74 : x
  2. Step 2: Convert to fraction form
    67,684.30/101,510 = 28,241.74/x
  3. Step 3: Cross multiply
    67,684.30x = 101,510 × 28,241.74
  4. Step 4: Simplify right side
    67,684.30x = 2,866,819,027.40
  5. Step 5: Solve for x
    x = 2,866,819,027.40/67,684.30
  6. Step 6: Final answer
    x = 42,355.75

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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.