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Finding the Fourth Proportional to 54,916.40, 82,471.80 and 42,466.70

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Solution

The fourth proportional to 54,916.40, 82,471.80 and 42,466.70 is: 63,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,916.40 : 82,471.80 = 42,466.70 : x
  2. Step 2: Convert to fraction form
    54,916.40/82,471.80 = 42,466.70/x
  3. Step 3: Cross multiply
    54,916.40x = 82,471.80 × 42,466.70
  4. Step 4: Simplify right side
    54,916.40x = 3,502,305,189.06
  5. Step 5: Solve for x
    x = 3,502,305,189.06/54,916.40
  6. Step 6: Final answer
    x = 63,775.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.