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Finding the Fourth Proportional to 54,038.80, 74,573.76 and 32,803.84

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Solution

The fourth proportional to 54,038.80, 74,573.76 and 32,803.84 is: 45,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038.80 : 74,573.76 = 32,803.84 : x
  2. Step 2: Convert to fraction form
    54,038.80/74,573.76 = 32,803.84/x
  3. Step 3: Cross multiply
    54,038.80x = 74,573.76 × 32,803.84
  4. Step 4: Simplify right side
    54,038.80x = 2,446,305,691.24
  5. Step 5: Solve for x
    x = 2,446,305,691.24/54,038.80
  6. Step 6: Final answer
    x = 45,269.43

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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.