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Finding the Fourth Proportional to 56,214.24, 77,571 and 31,063.68

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Solution

The fourth proportional to 56,214.24, 77,571 and 31,063.68 is: 42,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,214.24 : 77,571 = 31,063.68 : x
  2. Step 2: Convert to fraction form
    56,214.24/77,571 = 31,063.68/x
  3. Step 3: Cross multiply
    56,214.24x = 77,571 × 31,063.68
  4. Step 4: Simplify right side
    56,214.24x = 2,409,640,721.28
  5. Step 5: Solve for x
    x = 2,409,640,721.28/56,214.24
  6. Step 6: Final answer
    x = 42,865.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.