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Finding the Fourth Proportional to 38,962.74, 53,765.49 and 23,849.10

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Solution

The fourth proportional to 38,962.74, 53,765.49 and 23,849.10 is: 32,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,962.74 : 53,765.49 = 23,849.10 : x
  2. Step 2: Convert to fraction form
    38,962.74/53,765.49 = 23,849.10/x
  3. Step 3: Cross multiply
    38,962.74x = 53,765.49 × 23,849.10
  4. Step 4: Simplify right side
    38,962.74x = 1,282,258,547.56
  5. Step 5: Solve for x
    x = 1,282,258,547.56/38,962.74
  6. Step 6: Final answer
    x = 32,909.87

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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.