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Finding the Fourth Proportional to 33,971.20, 50,948.16 and 10,600

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Solution

The fourth proportional to 33,971.20, 50,948.16 and 10,600 is: 15,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971.20 : 50,948.16 = 10,600 : x
  2. Step 2: Convert to fraction form
    33,971.20/50,948.16 = 10,600/x
  3. Step 3: Cross multiply
    33,971.20x = 50,948.16 × 10,600
  4. Step 4: Simplify right side
    33,971.20x = 540,050,496
  5. Step 5: Solve for x
    x = 540,050,496/33,971.20
  6. Step 6: Final answer
    x = 15,897.30

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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.