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Finding the Fourth Proportional to 54,036.65, 74,586.41 and 31,385.82

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Solution

The fourth proportional to 54,036.65, 74,586.41 and 31,385.82 is: 43,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,036.65 : 74,586.41 = 31,385.82 : x
  2. Step 2: Convert to fraction form
    54,036.65/74,586.41 = 31,385.82/x
  3. Step 3: Cross multiply
    54,036.65x = 74,586.41 × 31,385.82
  4. Step 4: Simplify right side
    54,036.65x = 2,340,955,638.71
  5. Step 5: Solve for x
    x = 2,340,955,638.71/54,036.65
  6. Step 6: Final answer
    x = 43,321.63

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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.