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Finding the Fourth Proportional to 75,609.30, 113,381.11 and 23,006.49

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Solution

The fourth proportional to 75,609.30, 113,381.11 and 23,006.49 is: 34,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,609.30 : 113,381.11 = 23,006.49 : x
  2. Step 2: Convert to fraction form
    75,609.30/113,381.11 = 23,006.49/x
  3. Step 3: Cross multiply
    75,609.30x = 113,381.11 × 23,006.49
  4. Step 4: Simplify right side
    75,609.30x = 2,608,501,373.40
  5. Step 5: Solve for x
    x = 2,608,501,373.40/75,609.30
  6. Step 6: Final answer
    x = 34,499.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.