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Finding the Fourth Proportional to 67,538.97, 93,199.11 and 37,324

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Solution

The fourth proportional to 67,538.97, 93,199.11 and 37,324 is: 51,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,538.97 : 93,199.11 = 37,324 : x
  2. Step 2: Convert to fraction form
    67,538.97/93,199.11 = 37,324/x
  3. Step 3: Cross multiply
    67,538.97x = 93,199.11 × 37,324
  4. Step 4: Simplify right side
    67,538.97x = 3,478,563,581.64
  5. Step 5: Solve for x
    x = 3,478,563,581.64/67,538.97
  6. Step 6: Final answer
    x = 51,504.54

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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.