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Finding the Fourth Proportional to 53,082.68, 73,265.88 and 41,574.68

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Solution

The fourth proportional to 53,082.68, 73,265.88 and 41,574.68 is: 57,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082.68 : 73,265.88 = 41,574.68 : x
  2. Step 2: Convert to fraction form
    53,082.68/73,265.88 = 41,574.68/x
  3. Step 3: Cross multiply
    53,082.68x = 73,265.88 × 41,574.68
  4. Step 4: Simplify right side
    53,082.68x = 3,046,005,515.92
  5. Step 5: Solve for x
    x = 3,046,005,515.92/53,082.68
  6. Step 6: Final answer
    x = 57,382.29

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Why These Related Problems?

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