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Finding the Fourth Proportional to 75,114.75, 103,658.36 and 41,123.13

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Solution

The fourth proportional to 75,114.75, 103,658.36 and 41,123.13 is: 56,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114.75 : 103,658.36 = 41,123.13 : x
  2. Step 2: Convert to fraction form
    75,114.75/103,658.36 = 41,123.13/x
  3. Step 3: Cross multiply
    75,114.75x = 103,658.36 × 41,123.13
  4. Step 4: Simplify right side
    75,114.75x = 4,262,756,008.25
  5. Step 5: Solve for x
    x = 4,262,756,008.25/75,114.75
  6. Step 6: Final answer
    x = 56,749.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.