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Finding the Fourth Proportional to 75,385, 113,077.50 and 22,793.32

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Solution

The fourth proportional to 75,385, 113,077.50 and 22,793.32 is: 34,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,385 : 113,077.50 = 22,793.32 : x
  2. Step 2: Convert to fraction form
    75,385/113,077.50 = 22,793.32/x
  3. Step 3: Cross multiply
    75,385x = 113,077.50 × 22,793.32
  4. Step 4: Simplify right side
    75,385x = 2,577,411,642.30
  5. Step 5: Solve for x
    x = 2,577,411,642.30/75,385
  6. Step 6: Final answer
    x = 34,189.98

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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.