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Finding the Fourth Proportional to 67,534.40, 101,675.56 and 59,682

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Solution

The fourth proportional to 67,534.40, 101,675.56 and 59,682 is: 89,853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,534.40 : 101,675.56 = 59,682 : x
  2. Step 2: Convert to fraction form
    67,534.40/101,675.56 = 59,682/x
  3. Step 3: Cross multiply
    67,534.40x = 101,675.56 × 59,682
  4. Step 4: Simplify right side
    67,534.40x = 6,068,200,771.92
  5. Step 5: Solve for x
    x = 6,068,200,771.92/67,534.40
  6. Step 6: Final answer
    x = 89,853.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.