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Finding the Fourth Proportional to 56,921.38, 78,552.74 and 31,427.66

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Solution

The fourth proportional to 56,921.38, 78,552.74 and 31,427.66 is: 43,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,921.38 : 78,552.74 = 31,427.66 : x
  2. Step 2: Convert to fraction form
    56,921.38/78,552.74 = 31,427.66/x
  3. Step 3: Cross multiply
    56,921.38x = 78,552.74 × 31,427.66
  4. Step 4: Simplify right side
    56,921.38x = 2,468,728,804.79
  5. Step 5: Solve for x
    x = 2,468,728,804.79/56,921.38
  6. Step 6: Final answer
    x = 43,370.85

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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.