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Finding the Fourth Proportional to 33,140.17, 49,713.70 and 10,645.16

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Solution

The fourth proportional to 33,140.17, 49,713.70 and 10,645.16 is: 15,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140.17 : 49,713.70 = 10,645.16 : x
  2. Step 2: Convert to fraction form
    33,140.17/49,713.70 = 10,645.16/x
  3. Step 3: Cross multiply
    33,140.17x = 49,713.70 × 10,645.16
  4. Step 4: Simplify right side
    33,140.17x = 529,210,290.69
  5. Step 5: Solve for x
    x = 529,210,290.69/33,140.17
  6. Step 6: Final answer
    x = 15,968.85

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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.