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Finding the Fourth Proportional to 56,348.88, 77,761.45 and 31,198.38

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Solution

The fourth proportional to 56,348.88, 77,761.45 and 31,198.38 is: 43,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,348.88 : 77,761.45 = 31,198.38 : x
  2. Step 2: Convert to fraction form
    56,348.88/77,761.45 = 31,198.38/x
  3. Step 3: Cross multiply
    56,348.88x = 77,761.45 × 31,198.38
  4. Step 4: Simplify right side
    56,348.88x = 2,426,031,266.45
  5. Step 5: Solve for x
    x = 2,426,031,266.45/56,348.88
  6. Step 6: Final answer
    x = 43,053.76

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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.