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Finding the Fourth Proportional to 56,671.38, 78,208.38 and 31,180.68

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Solution

The fourth proportional to 56,671.38, 78,208.38 and 31,180.68 is: 43,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,671.38 : 78,208.38 = 31,180.68 : x
  2. Step 2: Convert to fraction form
    56,671.38/78,208.38 = 31,180.68/x
  3. Step 3: Cross multiply
    56,671.38x = 78,208.38 × 31,180.68
  4. Step 4: Simplify right side
    56,671.38x = 2,438,590,470.10
  5. Step 5: Solve for x
    x = 2,438,590,470.10/56,671.38
  6. Step 6: Final answer
    x = 43,030.37

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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.