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Finding the Fourth Proportional to 54,406.44, 75,088.22 and 30,534.42

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Solution

The fourth proportional to 54,406.44, 75,088.22 and 30,534.42 is: 42,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,406.44 : 75,088.22 = 30,534.42 : x
  2. Step 2: Convert to fraction form
    54,406.44/75,088.22 = 30,534.42/x
  3. Step 3: Cross multiply
    54,406.44x = 75,088.22 × 30,534.42
  4. Step 4: Simplify right side
    54,406.44x = 2,292,775,093.86
  5. Step 5: Solve for x
    x = 2,292,775,093.86/54,406.44
  6. Step 6: Final answer
    x = 42,141.61

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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.