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Finding the Fourth Proportional to 56,597.68, 78,102.60 and 31,448.80

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Solution

The fourth proportional to 56,597.68, 78,102.60 and 31,448.80 is: 43,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,597.68 : 78,102.60 = 31,448.80 : x
  2. Step 2: Convert to fraction form
    56,597.68/78,102.60 = 31,448.80/x
  3. Step 3: Cross multiply
    56,597.68x = 78,102.60 × 31,448.80
  4. Step 4: Simplify right side
    56,597.68x = 2,456,233,046.88
  5. Step 5: Solve for x
    x = 2,456,233,046.88/56,597.68
  6. Step 6: Final answer
    x = 43,398.12

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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.