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Finding the Fourth Proportional to 99,549, 149,327.24 and 27,509.22

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Solution

The fourth proportional to 99,549, 149,327.24 and 27,509.22 is: 41,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,549 : 149,327.24 = 27,509.22 : x
  2. Step 2: Convert to fraction form
    99,549/149,327.24 = 27,509.22/x
  3. Step 3: Cross multiply
    99,549x = 149,327.24 × 27,509.22
  4. Step 4: Simplify right side
    99,549x = 4,107,875,759.61
  5. Step 5: Solve for x
    x = 4,107,875,759.61/99,549
  6. Step 6: Final answer
    x = 41,264.86

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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.