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Finding the Fourth Proportional to 54,713.78, 75,500.49 and 30,846.32

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Solution

The fourth proportional to 54,713.78, 75,500.49 and 30,846.32 is: 42,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,713.78 : 75,500.49 = 30,846.32 : x
  2. Step 2: Convert to fraction form
    54,713.78/75,500.49 = 30,846.32/x
  3. Step 3: Cross multiply
    54,713.78x = 75,500.49 × 30,846.32
  4. Step 4: Simplify right side
    54,713.78x = 2,328,911,742.96
  5. Step 5: Solve for x
    x = 2,328,911,742.96/54,713.78
  6. Step 6: Final answer
    x = 42,565.36

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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.