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Finding the Fourth Proportional to 56,284.88, 77,675.56 and 31,134.38

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Solution

The fourth proportional to 56,284.88, 77,675.56 and 31,134.38 is: 42,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,284.88 : 77,675.56 = 31,134.38 : x
  2. Step 2: Convert to fraction form
    56,284.88/77,675.56 = 31,134.38/x
  3. Step 3: Cross multiply
    56,284.88x = 77,675.56 × 31,134.38
  4. Step 4: Simplify right side
    56,284.88x = 2,418,379,935.54
  5. Step 5: Solve for x
    x = 2,418,379,935.54/56,284.88
  6. Step 6: Final answer
    x = 42,966.78

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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.