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Finding the Fourth Proportional to 55,233.60, 82,864.20 and 17,797.20

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Solution

The fourth proportional to 55,233.60, 82,864.20 and 17,797.20 is: 26,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,233.60 : 82,864.20 = 17,797.20 : x
  2. Step 2: Convert to fraction form
    55,233.60/82,864.20 = 17,797.20/x
  3. Step 3: Cross multiply
    55,233.60x = 82,864.20 × 17,797.20
  4. Step 4: Simplify right side
    55,233.60x = 1,474,750,740.24
  5. Step 5: Solve for x
    x = 1,474,750,740.24/55,233.60
  6. Step 6: Final answer
    x = 26,700.25

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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.