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Finding the Fourth Proportional to 75,480.31, 113,236.80 and 22,893.76

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Solution

The fourth proportional to 75,480.31, 113,236.80 and 22,893.76 is: 34,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,480.31 : 113,236.80 = 22,893.76 : x
  2. Step 2: Convert to fraction form
    75,480.31/113,236.80 = 22,893.76/x
  3. Step 3: Cross multiply
    75,480.31x = 113,236.80 × 22,893.76
  4. Step 4: Simplify right side
    75,480.31x = 2,592,415,839.28
  5. Step 5: Solve for x
    x = 2,592,415,839.28/75,480.31
  6. Step 6: Final answer
    x = 34,345.59

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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.