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Finding the Fourth Proportional to 54,652.97, 75,421.36 and 30,780.07

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Solution

The fourth proportional to 54,652.97, 75,421.36 and 30,780.07 is: 42,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652.97 : 75,421.36 = 30,780.07 : x
  2. Step 2: Convert to fraction form
    54,652.97/75,421.36 = 30,780.07/x
  3. Step 3: Cross multiply
    54,652.97x = 75,421.36 × 30,780.07
  4. Step 4: Simplify right side
    54,652.97x = 2,321,474,590.22
  5. Step 5: Solve for x
    x = 2,321,474,590.22/54,652.97
  6. Step 6: Final answer
    x = 42,476.64

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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.