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Finding the Fourth Proportional to 38,478.33, 53,100.99 and 24,138.78

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Solution

The fourth proportional to 38,478.33, 53,100.99 and 24,138.78 is: 33,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.33 : 53,100.99 = 24,138.78 : x
  2. Step 2: Convert to fraction form
    38,478.33/53,100.99 = 24,138.78/x
  3. Step 3: Cross multiply
    38,478.33x = 53,100.99 × 24,138.78
  4. Step 4: Simplify right side
    38,478.33x = 1,281,793,115.39
  5. Step 5: Solve for x
    x = 1,281,793,115.39/38,478.33
  6. Step 6: Final answer
    x = 33,312.08

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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.