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Finding the Fourth Proportional to 56,463, 77,920.56 and 31,314.12

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Solution

The fourth proportional to 56,463, 77,920.56 and 31,314.12 is: 43,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,463 : 77,920.56 = 31,314.12 : x
  2. Step 2: Convert to fraction form
    56,463/77,920.56 = 31,314.12/x
  3. Step 3: Cross multiply
    56,463x = 77,920.56 × 31,314.12
  4. Step 4: Simplify right side
    56,463x = 2,440,013,766.31
  5. Step 5: Solve for x
    x = 2,440,013,766.31/56,463
  6. Step 6: Final answer
    x = 43,214.38

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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.