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Finding the Fourth Proportional to 54,680.76, 75,478.04 and 34,000.44

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Solution

The fourth proportional to 54,680.76, 75,478.04 and 34,000.44 is: 46,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,680.76 : 75,478.04 = 34,000.44 : x
  2. Step 2: Convert to fraction form
    54,680.76/75,478.04 = 34,000.44/x
  3. Step 3: Cross multiply
    54,680.76x = 75,478.04 × 34,000.44
  4. Step 4: Simplify right side
    54,680.76x = 2,566,286,570.34
  5. Step 5: Solve for x
    x = 2,566,286,570.34/54,680.76
  6. Step 6: Final answer
    x = 46,932.17

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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.