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Finding the Fourth Proportional to 83,462.96, 125,194.64 and 24,300

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Solution

The fourth proportional to 83,462.96, 125,194.64 and 24,300 is: 36,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462.96 : 125,194.64 = 24,300 : x
  2. Step 2: Convert to fraction form
    83,462.96/125,194.64 = 24,300/x
  3. Step 3: Cross multiply
    83,462.96x = 125,194.64 × 24,300
  4. Step 4: Simplify right side
    83,462.96x = 3,042,229,752
  5. Step 5: Solve for x
    x = 3,042,229,752/83,462.96
  6. Step 6: Final answer
    x = 36,450.06

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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.