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Finding the Fourth Proportional to 56,470.77, 77,866.11 and 46,229.94

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Solution

The fourth proportional to 56,470.77, 77,866.11 and 46,229.94 is: 63,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,470.77 : 77,866.11 = 46,229.94 : x
  2. Step 2: Convert to fraction form
    56,470.77/77,866.11 = 46,229.94/x
  3. Step 3: Cross multiply
    56,470.77x = 77,866.11 × 46,229.94
  4. Step 4: Simplify right side
    56,470.77x = 3,599,745,593.33
  5. Step 5: Solve for x
    x = 3,599,745,593.33/56,470.77
  6. Step 6: Final answer
    x = 63,745.29

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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.