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Finding the Fourth Proportional to 56,268, 77,649.84 and 31,121.28

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Solution

The fourth proportional to 56,268, 77,649.84 and 31,121.28 is: 42,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,268 : 77,649.84 = 31,121.28 : x
  2. Step 2: Convert to fraction form
    56,268/77,649.84 = 31,121.28/x
  3. Step 3: Cross multiply
    56,268x = 77,649.84 × 31,121.28
  4. Step 4: Simplify right side
    56,268x = 2,416,562,412.60
  5. Step 5: Solve for x
    x = 2,416,562,412.60/56,268
  6. Step 6: Final answer
    x = 42,947.37

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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.