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Finding the Fourth Proportional to 53,165.97, 79,762.61 and 15,724.53

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Solution

The fourth proportional to 53,165.97, 79,762.61 and 15,724.53 is: 23,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,165.97 : 79,762.61 = 15,724.53 : x
  2. Step 2: Convert to fraction form
    53,165.97/79,762.61 = 15,724.53/x
  3. Step 3: Cross multiply
    53,165.97x = 79,762.61 × 15,724.53
  4. Step 4: Simplify right side
    53,165.97x = 1,254,229,593.13
  5. Step 5: Solve for x
    x = 1,254,229,593.13/53,165.97
  6. Step 6: Final answer
    x = 23,590.83

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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.