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Finding the Fourth Proportional to 75,315.70, 103,932.16 and 41,323.42

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Solution

The fourth proportional to 75,315.70, 103,932.16 and 41,323.42 is: 57,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,315.70 : 103,932.16 = 41,323.42 : x
  2. Step 2: Convert to fraction form
    75,315.70/103,932.16 = 41,323.42/x
  3. Step 3: Cross multiply
    75,315.70x = 103,932.16 × 41,323.42
  4. Step 4: Simplify right side
    75,315.70x = 4,294,832,610.67
  5. Step 5: Solve for x
    x = 4,294,832,610.67/75,315.70
  6. Step 6: Final answer
    x = 57,024.40

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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.