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Finding the Fourth Proportional to 56,511.42, 77,987.79 and 31,018.56

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Solution

The fourth proportional to 56,511.42, 77,987.79 and 31,018.56 is: 42,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,511.42 : 77,987.79 = 31,018.56 : x
  2. Step 2: Convert to fraction form
    56,511.42/77,987.79 = 31,018.56/x
  3. Step 3: Cross multiply
    56,511.42x = 77,987.79 × 31,018.56
  4. Step 4: Simplify right side
    56,511.42x = 2,419,068,943.38
  5. Step 5: Solve for x
    x = 2,419,068,943.38/56,511.42
  6. Step 6: Final answer
    x = 42,806.73

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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.