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Finding the Fourth Proportional to 54,394, 75,066.25 and 31,729.40

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Solution

The fourth proportional to 54,394, 75,066.25 and 31,729.40 is: 43,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394 : 75,066.25 = 31,729.40 : x
  2. Step 2: Convert to fraction form
    54,394/75,066.25 = 31,729.40/x
  3. Step 3: Cross multiply
    54,394x = 75,066.25 × 31,729.40
  4. Step 4: Simplify right side
    54,394x = 2,381,807,072.75
  5. Step 5: Solve for x
    x = 2,381,807,072.75/54,394
  6. Step 6: Final answer
    x = 43,788.05

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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.