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Finding the Fourth Proportional to 69,097.32, 103,686.17 and 26,975.16

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Solution

The fourth proportional to 69,097.32, 103,686.17 and 26,975.16 is: 40,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,097.32 : 103,686.17 = 26,975.16 : x
  2. Step 2: Convert to fraction form
    69,097.32/103,686.17 = 26,975.16/x
  3. Step 3: Cross multiply
    69,097.32x = 103,686.17 × 26,975.16
  4. Step 4: Simplify right side
    69,097.32x = 2,796,951,025.54
  5. Step 5: Solve for x
    x = 2,796,951,025.54/69,097.32
  6. Step 6: Final answer
    x = 40,478.43

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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.