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Finding the Fourth Proportional to 76,189.41, 113,820.80 and 49,316.49

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Solution

The fourth proportional to 76,189.41, 113,820.80 and 49,316.49 is: 73,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,189.41 : 113,820.80 = 49,316.49 : x
  2. Step 2: Convert to fraction form
    76,189.41/113,820.80 = 49,316.49/x
  3. Step 3: Cross multiply
    76,189.41x = 113,820.80 × 49,316.49
  4. Step 4: Simplify right side
    76,189.41x = 5,613,242,098.41
  5. Step 5: Solve for x
    x = 5,613,242,098.41/76,189.41
  6. Step 6: Final answer
    x = 73,674.83

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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.