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Finding the Fourth Proportional to 55,794.60, 83,712.33 and 25,823.16

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Solution

The fourth proportional to 55,794.60, 83,712.33 and 25,823.16 is: 38,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,794.60 : 83,712.33 = 25,823.16 : x
  2. Step 2: Convert to fraction form
    55,794.60/83,712.33 = 25,823.16/x
  3. Step 3: Cross multiply
    55,794.60x = 83,712.33 × 25,823.16
  4. Step 4: Simplify right side
    55,794.60x = 2,161,716,891.56
  5. Step 5: Solve for x
    x = 2,161,716,891.56/55,794.60
  6. Step 6: Final answer
    x = 38,744.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.