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Finding the Fourth Proportional to 33,011.64, 49,502.70 and 10,516.68

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Solution

The fourth proportional to 33,011.64, 49,502.70 and 10,516.68 is: 15,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011.64 : 49,502.70 = 10,516.68 : x
  2. Step 2: Convert to fraction form
    33,011.64/49,502.70 = 10,516.68/x
  3. Step 3: Cross multiply
    33,011.64x = 49,502.70 × 10,516.68
  4. Step 4: Simplify right side
    33,011.64x = 520,604,055.04
  5. Step 5: Solve for x
    x = 520,604,055.04/33,011.64
  6. Step 6: Final answer
    x = 15,770.32

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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.