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Finding the Fourth Proportional to 75,830.89, 113,746.24 and 33,701.17

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Solution

The fourth proportional to 75,830.89, 113,746.24 and 33,701.17 is: 50,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,830.89 : 113,746.24 = 33,701.17 : x
  2. Step 2: Convert to fraction form
    75,830.89/113,746.24 = 33,701.17/x
  3. Step 3: Cross multiply
    75,830.89x = 113,746.24 × 33,701.17
  4. Step 4: Simplify right side
    75,830.89x = 3,833,381,371.10
  5. Step 5: Solve for x
    x = 3,833,381,371.10/75,830.89
  6. Step 6: Final answer
    x = 50,551.71

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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.