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Finding the Fourth Proportional to 75,756.74, 104,544.96 and 41,766.40

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Solution

The fourth proportional to 75,756.74, 104,544.96 and 41,766.40 is: 57,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,756.74 : 104,544.96 = 41,766.40 : x
  2. Step 2: Convert to fraction form
    75,756.74/104,544.96 = 41,766.40/x
  3. Step 3: Cross multiply
    75,756.74x = 104,544.96 × 41,766.40
  4. Step 4: Simplify right side
    75,756.74x = 4,366,466,617.34
  5. Step 5: Solve for x
    x = 4,366,466,617.34/75,756.74
  6. Step 6: Final answer
    x = 57,638.00

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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.