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Finding the Fourth Proportional to 99,554.70, 149,330.13 and 24,675

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Solution

The fourth proportional to 99,554.70, 149,330.13 and 24,675 is: 37,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,554.70 : 149,330.13 = 24,675 : x
  2. Step 2: Convert to fraction form
    99,554.70/149,330.13 = 24,675/x
  3. Step 3: Cross multiply
    99,554.70x = 149,330.13 × 24,675
  4. Step 4: Simplify right side
    99,554.70x = 3,684,720,957.75
  5. Step 5: Solve for x
    x = 3,684,720,957.75/99,554.70
  6. Step 6: Final answer
    x = 37,012.02

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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.