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Finding the Fourth Proportional to 38,452.68, 53,043.12 and 22,533.84

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Solution

The fourth proportional to 38,452.68, 53,043.12 and 22,533.84 is: 31,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452.68 : 53,043.12 = 22,533.84 : x
  2. Step 2: Convert to fraction form
    38,452.68/53,043.12 = 22,533.84/x
  3. Step 3: Cross multiply
    38,452.68x = 53,043.12 × 22,533.84
  4. Step 4: Simplify right side
    38,452.68x = 1,195,265,179.18
  5. Step 5: Solve for x
    x = 1,195,265,179.18/38,452.68
  6. Step 6: Final answer
    x = 31,084.05

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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.