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Finding the Fourth Proportional to 76,194.78, 105,133.86 and 47,884.11

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Solution

The fourth proportional to 76,194.78, 105,133.86 and 47,884.11 is: 66,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,194.78 : 105,133.86 = 47,884.11 : x
  2. Step 2: Convert to fraction form
    76,194.78/105,133.86 = 47,884.11/x
  3. Step 3: Cross multiply
    76,194.78x = 105,133.86 × 47,884.11
  4. Step 4: Simplify right side
    76,194.78x = 5,034,241,316.96
  5. Step 5: Solve for x
    x = 5,034,241,316.96/76,194.78
  6. Step 6: Final answer
    x = 66,070.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.