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Finding the Fourth Proportional to 53,046.38, 79,462.98 and 24,543.38

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Solution

The fourth proportional to 53,046.38, 79,462.98 and 24,543.38 is: 36,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,046.38 : 79,462.98 = 24,543.38 : x
  2. Step 2: Convert to fraction form
    53,046.38/79,462.98 = 24,543.38/x
  3. Step 3: Cross multiply
    53,046.38x = 79,462.98 × 24,543.38
  4. Step 4: Simplify right side
    53,046.38x = 1,950,290,114.07
  5. Step 5: Solve for x
    x = 1,950,290,114.07/53,046.38
  6. Step 6: Final answer
    x = 36,765.75

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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.