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Finding the Fourth Proportional to 52,842.97, 79,264.46 and 13,400.02

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Solution

The fourth proportional to 52,842.97, 79,264.46 and 13,400.02 is: 20,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842.97 : 79,264.46 = 13,400.02 : x
  2. Step 2: Convert to fraction form
    52,842.97/79,264.46 = 13,400.02/x
  3. Step 3: Cross multiply
    52,842.97x = 79,264.46 × 13,400.02
  4. Step 4: Simplify right side
    52,842.97x = 1,062,145,349.29
  5. Step 5: Solve for x
    x = 1,062,145,349.29/52,842.97
  6. Step 6: Final answer
    x = 20,100.03

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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.