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Finding the Fourth Proportional to 38,199.78, 57,301.32 and 10,497.78

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Solution

The fourth proportional to 38,199.78, 57,301.32 and 10,497.78 is: 15,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,199.78 : 57,301.32 = 10,497.78 : x
  2. Step 2: Convert to fraction form
    38,199.78/57,301.32 = 10,497.78/x
  3. Step 3: Cross multiply
    38,199.78x = 57,301.32 × 10,497.78
  4. Step 4: Simplify right side
    38,199.78x = 601,536,651.07
  5. Step 5: Solve for x
    x = 601,536,651.07/38,199.78
  6. Step 6: Final answer
    x = 15,747.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.