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Finding the Fourth Proportional to 56,343.98, 77,754.56 and 32,470.44

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Solution

The fourth proportional to 56,343.98, 77,754.56 and 32,470.44 is: 44,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,343.98 : 77,754.56 = 32,470.44 : x
  2. Step 2: Convert to fraction form
    56,343.98/77,754.56 = 32,470.44/x
  3. Step 3: Cross multiply
    56,343.98x = 77,754.56 × 32,470.44
  4. Step 4: Simplify right side
    56,343.98x = 2,524,724,775.21
  5. Step 5: Solve for x
    x = 2,524,724,775.21/56,343.98
  6. Step 6: Final answer
    x = 44,809.13

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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.