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Finding the Fourth Proportional to 75,885.50, 113,833.76 and 29,138.38

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Solution

The fourth proportional to 75,885.50, 113,833.76 and 29,138.38 is: 43,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,885.50 : 113,833.76 = 29,138.38 : x
  2. Step 2: Convert to fraction form
    75,885.50/113,833.76 = 29,138.38/x
  3. Step 3: Cross multiply
    75,885.50x = 113,833.76 × 29,138.38
  4. Step 4: Simplify right side
    75,885.50x = 3,316,930,925.43
  5. Step 5: Solve for x
    x = 3,316,930,925.43/75,885.50
  6. Step 6: Final answer
    x = 43,709.68

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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.