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Finding the Fourth Proportional to 75,748.50, 113,671.35 and 34,195.50

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Solution

The fourth proportional to 75,748.50, 113,671.35 and 34,195.50 is: 51,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,748.50 : 113,671.35 = 34,195.50 : x
  2. Step 2: Convert to fraction form
    75,748.50/113,671.35 = 34,195.50/x
  3. Step 3: Cross multiply
    75,748.50x = 113,671.35 × 34,195.50
  4. Step 4: Simplify right side
    75,748.50x = 3,887,048,648.93
  5. Step 5: Solve for x
    x = 3,887,048,648.93/75,748.50
  6. Step 6: Final answer
    x = 51,315.19

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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.