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Finding the Fourth Proportional to 99,627.87, 149,503.32 and 57,591

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Solution

The fourth proportional to 99,627.87, 149,503.32 and 57,591 is: 86,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,627.87 : 149,503.32 = 57,591 : x
  2. Step 2: Convert to fraction form
    99,627.87/149,503.32 = 57,591/x
  3. Step 3: Cross multiply
    99,627.87x = 149,503.32 × 57,591
  4. Step 4: Simplify right side
    99,627.87x = 8,610,045,702.12
  5. Step 5: Solve for x
    x = 8,610,045,702.12/99,627.87
  6. Step 6: Final answer
    x = 86,422.06

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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.