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Finding the Fourth Proportional to 75,765.38, 113,648.27 and 23,178.96

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Solution

The fourth proportional to 75,765.38, 113,648.27 and 23,178.96 is: 34,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,765.38 : 113,648.27 = 23,178.96 : x
  2. Step 2: Convert to fraction form
    75,765.38/113,648.27 = 23,178.96/x
  3. Step 3: Cross multiply
    75,765.38x = 113,648.27 × 23,178.96
  4. Step 4: Simplify right side
    75,765.38x = 2,634,248,588.50
  5. Step 5: Solve for x
    x = 2,634,248,588.50/75,765.38
  6. Step 6: Final answer
    x = 34,768.50

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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.