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Finding the Fourth Proportional to 32,899.64, 49,349 and 7,939.48

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Solution

The fourth proportional to 32,899.64, 49,349 and 7,939.48 is: 11,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,899.64 : 49,349 = 7,939.48 : x
  2. Step 2: Convert to fraction form
    32,899.64/49,349 = 7,939.48/x
  3. Step 3: Cross multiply
    32,899.64x = 49,349 × 7,939.48
  4. Step 4: Simplify right side
    32,899.64x = 391,805,398.52
  5. Step 5: Solve for x
    x = 391,805,398.52/32,899.64
  6. Step 6: Final answer
    x = 11,909.11

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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.