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Finding the Fourth Proportional to 54,503.28, 75,201.39 and 31,829.40

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Solution

The fourth proportional to 54,503.28, 75,201.39 and 31,829.40 is: 43,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,503.28 : 75,201.39 = 31,829.40 : x
  2. Step 2: Convert to fraction form
    54,503.28/75,201.39 = 31,829.40/x
  3. Step 3: Cross multiply
    54,503.28x = 75,201.39 × 31,829.40
  4. Step 4: Simplify right side
    54,503.28x = 2,393,615,122.87
  5. Step 5: Solve for x
    x = 2,393,615,122.87/54,503.28
  6. Step 6: Final answer
    x = 43,916.90

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1.5x scale

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.