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Finding the Fourth Proportional to 54,839.85, 75,680.54 and 30,970.11

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Solution

The fourth proportional to 54,839.85, 75,680.54 and 30,970.11 is: 42,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,839.85 : 75,680.54 = 30,970.11 : x
  2. Step 2: Convert to fraction form
    54,839.85/75,680.54 = 30,970.11/x
  3. Step 3: Cross multiply
    54,839.85x = 75,680.54 × 30,970.11
  4. Step 4: Simplify right side
    54,839.85x = 2,343,834,726.08
  5. Step 5: Solve for x
    x = 2,343,834,726.08/54,839.85
  6. Step 6: Final answer
    x = 42,739.63

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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.