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Finding the Fourth Proportional to 54,431.79, 75,124.13 and 33,223.38

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Solution

The fourth proportional to 54,431.79, 75,124.13 and 33,223.38 is: 45,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,431.79 : 75,124.13 = 33,223.38 : x
  2. Step 2: Convert to fraction form
    54,431.79/75,124.13 = 33,223.38/x
  3. Step 3: Cross multiply
    54,431.79x = 75,124.13 × 33,223.38
  4. Step 4: Simplify right side
    54,431.79x = 2,495,877,352.04
  5. Step 5: Solve for x
    x = 2,495,877,352.04/54,431.79
  6. Step 6: Final answer
    x = 45,853.30

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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.