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Finding the Fourth Proportional to 52,884.93, 79,348.17 and 23,282.00

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Solution

The fourth proportional to 52,884.93, 79,348.17 and 23,282.00 is: 34,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884.93 : 79,348.17 = 23,282.00 : x
  2. Step 2: Convert to fraction form
    52,884.93/79,348.17 = 23,282.00/x
  3. Step 3: Cross multiply
    52,884.93x = 79,348.17 × 23,282.00
  4. Step 4: Simplify right side
    52,884.93x = 1,847,383,580.79
  5. Step 5: Solve for x
    x = 1,847,383,580.79/52,884.93
  6. Step 6: Final answer
    x = 34,932.14

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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.