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Finding the Fourth Proportional to 79,538, 119,307.72 and 24,134

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Solution

The fourth proportional to 79,538, 119,307.72 and 24,134 is: 36,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,538 : 119,307.72 = 24,134 : x
  2. Step 2: Convert to fraction form
    79,538/119,307.72 = 24,134/x
  3. Step 3: Cross multiply
    79,538x = 119,307.72 × 24,134
  4. Step 4: Simplify right side
    79,538x = 2,879,372,514.48
  5. Step 5: Solve for x
    x = 2,879,372,514.48/79,538
  6. Step 6: Final answer
    x = 36,201.22

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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.