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Finding the Fourth Proportional to 38,404.80, 53,004.96 and 24,278.40

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Solution

The fourth proportional to 38,404.80, 53,004.96 and 24,278.40 is: 33,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404.80 : 53,004.96 = 24,278.40 : x
  2. Step 2: Convert to fraction form
    38,404.80/53,004.96 = 24,278.40/x
  3. Step 3: Cross multiply
    38,404.80x = 53,004.96 × 24,278.40
  4. Step 4: Simplify right side
    38,404.80x = 1,286,875,620.86
  5. Step 5: Solve for x
    x = 1,286,875,620.86/38,404.80
  6. Step 6: Final answer
    x = 33,508.20

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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.