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Finding the Fourth Proportional to 99,711.94, 149,567.83 and 29,591.25

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Solution

The fourth proportional to 99,711.94, 149,567.83 and 29,591.25 is: 44,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711.94 : 149,567.83 = 29,591.25 : x
  2. Step 2: Convert to fraction form
    99,711.94/149,567.83 = 29,591.25/x
  3. Step 3: Cross multiply
    99,711.94x = 149,567.83 × 29,591.25
  4. Step 4: Simplify right side
    99,711.94x = 4,425,898,876.90
  5. Step 5: Solve for x
    x = 4,425,898,876.90/99,711.94
  6. Step 6: Final answer
    x = 44,386.85

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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.