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Finding the Fourth Proportional to 92,126.92, 137,968.92 and 52,564.09

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Solution

The fourth proportional to 92,126.92, 137,968.92 and 52,564.09 is: 78,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,126.92 : 137,968.92 = 52,564.09 : x
  2. Step 2: Convert to fraction form
    92,126.92/137,968.92 = 52,564.09/x
  3. Step 3: Cross multiply
    92,126.92x = 137,968.92 × 52,564.09
  4. Step 4: Simplify right side
    92,126.92x = 7,252,210,728.08
  5. Step 5: Solve for x
    x = 7,252,210,728.08/92,126.92
  6. Step 6: Final answer
    x = 78,719.78

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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.