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Finding the Fourth Proportional to 69,709.92, 96,199.50 and 37,878.93

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Solution

The fourth proportional to 69,709.92, 96,199.50 and 37,878.93 is: 52,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,709.92 : 96,199.50 = 37,878.93 : x
  2. Step 2: Convert to fraction form
    69,709.92/96,199.50 = 37,878.93/x
  3. Step 3: Cross multiply
    69,709.92x = 96,199.50 × 37,878.93
  4. Step 4: Simplify right side
    69,709.92x = 3,643,934,126.54
  5. Step 5: Solve for x
    x = 3,643,934,126.54/69,709.92
  6. Step 6: Final answer
    x = 52,272.82

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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.