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Finding the Fourth Proportional to 101,591.88, 152,444.46 and 38,454

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Solution

The fourth proportional to 101,591.88, 152,444.46 and 38,454 is: 57,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,591.88 : 152,444.46 = 38,454 : x
  2. Step 2: Convert to fraction form
    101,591.88/152,444.46 = 38,454/x
  3. Step 3: Cross multiply
    101,591.88x = 152,444.46 × 38,454
  4. Step 4: Simplify right side
    101,591.88x = 5,862,099,264.84
  5. Step 5: Solve for x
    x = 5,862,099,264.84/101,591.88
  6. Step 6: Final answer
    x = 57,702.44

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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.