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Finding the Fourth Proportional to 52,047.40, 71,830.82 and 31,917.64

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Solution

The fourth proportional to 52,047.40, 71,830.82 and 31,917.64 is: 44,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.40 : 71,830.82 = 31,917.64 : x
  2. Step 2: Convert to fraction form
    52,047.40/71,830.82 = 31,917.64/x
  3. Step 3: Cross multiply
    52,047.40x = 71,830.82 × 31,917.64
  4. Step 4: Simplify right side
    52,047.40x = 2,292,670,253.66
  5. Step 5: Solve for x
    x = 2,292,670,253.66/52,047.40
  6. Step 6: Final answer
    x = 44,049.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.