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Finding the Fourth Proportional to 99,549, 149,326.38 and 25,677

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Solution

The fourth proportional to 99,549, 149,326.38 and 25,677 is: 38,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,549 : 149,326.38 = 25,677 : x
  2. Step 2: Convert to fraction form
    99,549/149,326.38 = 25,677/x
  3. Step 3: Cross multiply
    99,549x = 149,326.38 × 25,677
  4. Step 4: Simplify right side
    99,549x = 3,834,253,459.26
  5. Step 5: Solve for x
    x = 3,834,253,459.26/99,549
  6. Step 6: Final answer
    x = 38,516.24

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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.