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Finding the Fourth Proportional to 69,698.61, 104,532.14 and 32,238.14

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Solution

The fourth proportional to 69,698.61, 104,532.14 and 32,238.14 is: 48,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,698.61 : 104,532.14 = 32,238.14 : x
  2. Step 2: Convert to fraction form
    69,698.61/104,532.14 = 32,238.14/x
  3. Step 3: Cross multiply
    69,698.61x = 104,532.14 × 32,238.14
  4. Step 4: Simplify right side
    69,698.61x = 3,369,921,079.97
  5. Step 5: Solve for x
    x = 3,369,921,079.97/69,698.61
  6. Step 6: Final answer
    x = 48,349.90

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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.