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Finding the Fourth Proportional to 75,336, 113,000.76 and 22,743.92

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Solution

The fourth proportional to 75,336, 113,000.76 and 22,743.92 is: 34,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,336 : 113,000.76 = 22,743.92 : x
  2. Step 2: Convert to fraction form
    75,336/113,000.76 = 22,743.92/x
  3. Step 3: Cross multiply
    75,336x = 113,000.76 × 22,743.92
  4. Step 4: Simplify right side
    75,336x = 2,570,080,245.38
  5. Step 5: Solve for x
    x = 2,570,080,245.38/75,336
  6. Step 6: Final answer
    x = 34,114.90

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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.