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Finding the Fourth Proportional to 54,510.96, 75,232.08 and 33,285.76

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Solution

The fourth proportional to 54,510.96, 75,232.08 and 33,285.76 is: 45,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,510.96 : 75,232.08 = 33,285.76 : x
  2. Step 2: Convert to fraction form
    54,510.96/75,232.08 = 33,285.76/x
  3. Step 3: Cross multiply
    54,510.96x = 75,232.08 × 33,285.76
  4. Step 4: Simplify right side
    54,510.96x = 2,504,156,959.18
  5. Step 5: Solve for x
    x = 2,504,156,959.18/54,510.96
  6. Step 6: Final answer
    x = 45,938.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.