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Finding the Fourth Proportional to 53,113.88, 79,670.82 and 16,177.88

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Solution

The fourth proportional to 53,113.88, 79,670.82 and 16,177.88 is: 24,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,113.88 : 79,670.82 = 16,177.88 : x
  2. Step 2: Convert to fraction form
    53,113.88/79,670.82 = 16,177.88/x
  3. Step 3: Cross multiply
    53,113.88x = 79,670.82 × 16,177.88
  4. Step 4: Simplify right side
    53,113.88x = 1,288,904,567.11
  5. Step 5: Solve for x
    x = 1,288,904,567.11/53,113.88
  6. Step 6: Final answer
    x = 24,266.81

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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.