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Finding the Fourth Proportional to 33,167.76, 49,756.50 and 9,791.16

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Solution

The fourth proportional to 33,167.76, 49,756.50 and 9,791.16 is: 14,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,167.76 : 49,756.50 = 9,791.16 : x
  2. Step 2: Convert to fraction form
    33,167.76/49,756.50 = 9,791.16/x
  3. Step 3: Cross multiply
    33,167.76x = 49,756.50 × 9,791.16
  4. Step 4: Simplify right side
    33,167.76x = 487,173,852.54
  5. Step 5: Solve for x
    x = 487,173,852.54/33,167.76
  6. Step 6: Final answer
    x = 14,688.17

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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.