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Finding the Fourth Proportional to 67,810.91, 101,702.46 and 25,676.46

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Solution

The fourth proportional to 67,810.91, 101,702.46 and 25,676.46 is: 38,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,810.91 : 101,702.46 = 25,676.46 : x
  2. Step 2: Convert to fraction form
    67,810.91/101,702.46 = 25,676.46/x
  3. Step 3: Cross multiply
    67,810.91x = 101,702.46 × 25,676.46
  4. Step 4: Simplify right side
    67,810.91x = 2,611,359,146.09
  5. Step 5: Solve for x
    x = 2,611,359,146.09/67,810.91
  6. Step 6: Final answer
    x = 38,509.42

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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.