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Finding the Fourth Proportional to 56,338.10, 77,745.84 and 30,844.16

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Solution

The fourth proportional to 56,338.10, 77,745.84 and 30,844.16 is: 42,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,338.10 : 77,745.84 = 30,844.16 : x
  2. Step 2: Convert to fraction form
    56,338.10/77,745.84 = 30,844.16/x
  3. Step 3: Cross multiply
    56,338.10x = 77,745.84 × 30,844.16
  4. Step 4: Simplify right side
    56,338.10x = 2,398,005,128.29
  5. Step 5: Solve for x
    x = 2,398,005,128.29/56,338.10
  6. Step 6: Final answer
    x = 42,564.54

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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.