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Finding the Fourth Proportional to 99,903, 149,854.50 and 26,031

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Solution

The fourth proportional to 99,903, 149,854.50 and 26,031 is: 39,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,903 : 149,854.50 = 26,031 : x
  2. Step 2: Convert to fraction form
    99,903/149,854.50 = 26,031/x
  3. Step 3: Cross multiply
    99,903x = 149,854.50 × 26,031
  4. Step 4: Simplify right side
    99,903x = 3,900,862,489.50
  5. Step 5: Solve for x
    x = 3,900,862,489.50/99,903
  6. Step 6: Final answer
    x = 39,046.50

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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.