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Finding the Fourth Proportional to 56,322.45, 77,723.82 and 30,828.20

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Solution

The fourth proportional to 56,322.45, 77,723.82 and 30,828.20 is: 42,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,322.45 : 77,723.82 = 30,828.20 : x
  2. Step 2: Convert to fraction form
    56,322.45/77,723.82 = 30,828.20/x
  3. Step 3: Cross multiply
    56,322.45x = 77,723.82 × 30,828.20
  4. Step 4: Simplify right side
    56,322.45x = 2,396,085,079.10
  5. Step 5: Solve for x
    x = 2,396,085,079.10/56,322.45
  6. Step 6: Final answer
    x = 42,542.27

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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.