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Finding the Fourth Proportional to 56,322.45, 77,723.80 and 30,828.22

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Solution

The fourth proportional to 56,322.45, 77,723.80 and 30,828.22 is: 42,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,322.45 : 77,723.80 = 30,828.22 : x
  2. Step 2: Convert to fraction form
    56,322.45/77,723.80 = 30,828.22/x
  3. Step 3: Cross multiply
    56,322.45x = 77,723.80 × 30,828.22
  4. Step 4: Simplify right side
    56,322.45x = 2,396,086,134.26
  5. Step 5: Solve for x
    x = 2,396,086,134.26/56,322.45
  6. Step 6: Final answer
    x = 42,542.29

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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.