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Finding the Fourth Proportional to 99,548, 149,324.88 and 25,676

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Solution

The fourth proportional to 99,548, 149,324.88 and 25,676 is: 38,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,548 : 149,324.88 = 25,676 : x
  2. Step 2: Convert to fraction form
    99,548/149,324.88 = 25,676/x
  3. Step 3: Cross multiply
    99,548x = 149,324.88 × 25,676
  4. Step 4: Simplify right side
    99,548x = 3,834,065,618.88
  5. Step 5: Solve for x
    x = 3,834,065,618.88/99,548
  6. Step 6: Final answer
    x = 38,514.74

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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.