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Finding the Fourth Proportional to 56,876.58, 78,490.52 and 31,382.54

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Solution

The fourth proportional to 56,876.58, 78,490.52 and 31,382.54 is: 43,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,876.58 : 78,490.52 = 31,382.54 : x
  2. Step 2: Convert to fraction form
    56,876.58/78,490.52 = 31,382.54/x
  3. Step 3: Cross multiply
    56,876.58x = 78,490.52 × 31,382.54
  4. Step 4: Simplify right side
    56,876.58x = 2,463,231,746.18
  5. Step 5: Solve for x
    x = 2,463,231,746.18/56,876.58
  6. Step 6: Final answer
    x = 43,308.37

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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.