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Finding the Fourth Proportional to 76,191.66, 113,824.15 and 49,318.74

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Solution

The fourth proportional to 76,191.66, 113,824.15 and 49,318.74 is: 73,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,191.66 : 113,824.15 = 49,318.74 : x
  2. Step 2: Convert to fraction form
    76,191.66/113,824.15 = 49,318.74/x
  3. Step 3: Cross multiply
    76,191.66x = 113,824.15 × 49,318.74
  4. Step 4: Simplify right side
    76,191.66x = 5,613,663,536.27
  5. Step 5: Solve for x
    x = 5,613,663,536.27/76,191.66
  6. Step 6: Final answer
    x = 73,678.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.