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Finding the Fourth Proportional to 67,980.05, 93,812.38 and 37,768.16

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Solution

The fourth proportional to 67,980.05, 93,812.38 and 37,768.16 is: 52,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,980.05 : 93,812.38 = 37,768.16 : x
  2. Step 2: Convert to fraction form
    67,980.05/93,812.38 = 37,768.16/x
  3. Step 3: Cross multiply
    67,980.05x = 93,812.38 × 37,768.16
  4. Step 4: Simplify right side
    67,980.05x = 3,543,120,414.34
  5. Step 5: Solve for x
    x = 3,543,120,414.34/67,980.05
  6. Step 6: Final answer
    x = 52,120.01

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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.