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Finding the Fourth Proportional to 69,838.40, 104,796 and 32,901.44

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Solution

The fourth proportional to 69,838.40, 104,796 and 32,901.44 is: 49,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.40 : 104,796 = 32,901.44 : x
  2. Step 2: Convert to fraction form
    69,838.40/104,796 = 32,901.44/x
  3. Step 3: Cross multiply
    69,838.40x = 104,796 × 32,901.44
  4. Step 4: Simplify right side
    69,838.40x = 3,447,939,306.24
  5. Step 5: Solve for x
    x = 3,447,939,306.24/69,838.40
  6. Step 6: Final answer
    x = 49,370.25

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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.