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Finding the Fourth Proportional to 54,184.68, 74,780.50 and 31,215.30

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Solution

The fourth proportional to 54,184.68, 74,780.50 and 31,215.30 is: 43,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,184.68 : 74,780.50 = 31,215.30 : x
  2. Step 2: Convert to fraction form
    54,184.68/74,780.50 = 31,215.30/x
  3. Step 3: Cross multiply
    54,184.68x = 74,780.50 × 31,215.30
  4. Step 4: Simplify right side
    54,184.68x = 2,334,295,741.65
  5. Step 5: Solve for x
    x = 2,334,295,741.65/54,184.68
  6. Step 6: Final answer
    x = 43,080.36

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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.