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Finding the Fourth Proportional to 33,656.47, 50,491.70 and 9,962.15

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Solution

The fourth proportional to 33,656.47, 50,491.70 and 9,962.15 is: 14,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656.47 : 50,491.70 = 9,962.15 : x
  2. Step 2: Convert to fraction form
    33,656.47/50,491.70 = 9,962.15/x
  3. Step 3: Cross multiply
    33,656.47x = 50,491.70 × 9,962.15
  4. Step 4: Simplify right side
    33,656.47x = 503,005,680.28
  5. Step 5: Solve for x
    x = 503,005,680.28/33,656.47
  6. Step 6: Final answer
    x = 14,945.29

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