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Finding the Fourth Proportional to 66,975.83, 100,463.76 and 52,195.82

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Solution

The fourth proportional to 66,975.83, 100,463.76 and 52,195.82 is: 78,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,975.83 : 100,463.76 = 52,195.82 : x
  2. Step 2: Convert to fraction form
    66,975.83/100,463.76 = 52,195.82/x
  3. Step 3: Cross multiply
    66,975.83x = 100,463.76 × 52,195.82
  4. Step 4: Simplify right side
    66,975.83x = 5,243,788,333.48
  5. Step 5: Solve for x
    x = 5,243,788,333.48/66,975.83
  6. Step 6: Final answer
    x = 78,293.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.