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Finding the Fourth Proportional to 52,756.68, 72,839.34 and 41,471.76

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Solution

The fourth proportional to 52,756.68, 72,839.34 and 41,471.76 is: 57,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,756.68 : 72,839.34 = 41,471.76 : x
  2. Step 2: Convert to fraction form
    52,756.68/72,839.34 = 41,471.76/x
  3. Step 3: Cross multiply
    52,756.68x = 72,839.34 × 41,471.76
  4. Step 4: Simplify right side
    52,756.68x = 3,020,775,627.04
  5. Step 5: Solve for x
    x = 3,020,775,627.04/52,756.68
  6. Step 6: Final answer
    x = 57,258.64

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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.