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Finding the Fourth Proportional to 69,698.93, 96,184.62 and 37,867.82

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Solution

The fourth proportional to 69,698.93, 96,184.62 and 37,867.82 is: 52,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,698.93 : 96,184.62 = 37,867.82 : x
  2. Step 2: Convert to fraction form
    69,698.93/96,184.62 = 37,867.82/x
  3. Step 3: Cross multiply
    69,698.93x = 96,184.62 × 37,867.82
  4. Step 4: Simplify right side
    69,698.93x = 3,642,301,396.01
  5. Step 5: Solve for x
    x = 3,642,301,396.01/69,698.93
  6. Step 6: Final answer
    x = 52,257.64

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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.