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Finding the Fourth Proportional to 69,709.44, 96,199.61 and 37,878.34

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Solution

The fourth proportional to 69,709.44, 96,199.61 and 37,878.34 is: 52,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,709.44 : 96,199.61 = 37,878.34 : x
  2. Step 2: Convert to fraction form
    69,709.44/96,199.61 = 37,878.34/x
  3. Step 3: Cross multiply
    69,709.44x = 96,199.61 × 37,878.34
  4. Step 4: Simplify right side
    69,709.44x = 3,643,881,535.45
  5. Step 5: Solve for x
    x = 3,643,881,535.45/69,709.44
  6. Step 6: Final answer
    x = 52,272.43

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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.