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Finding the Fourth Proportional to 32,767.32, 49,167 and 15,249.36

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Solution

The fourth proportional to 32,767.32, 49,167 and 15,249.36 is: 22,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.32 : 49,167 = 15,249.36 : x
  2. Step 2: Convert to fraction form
    32,767.32/49,167 = 15,249.36/x
  3. Step 3: Cross multiply
    32,767.32x = 49,167 × 15,249.36
  4. Step 4: Simplify right side
    32,767.32x = 749,765,283.12
  5. Step 5: Solve for x
    x = 749,765,283.12/32,767.32
  6. Step 6: Final answer
    x = 22,881.50

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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.