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Finding the Fourth Proportional to 69,835.44, 96,374.67 and 38,006.10

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Solution

The fourth proportional to 69,835.44, 96,374.67 and 38,006.10 is: 52,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835.44 : 96,374.67 = 38,006.10 : x
  2. Step 2: Convert to fraction form
    69,835.44/96,374.67 = 38,006.10/x
  3. Step 3: Cross multiply
    69,835.44x = 96,374.67 × 38,006.10
  4. Step 4: Simplify right side
    69,835.44x = 3,662,825,345.49
  5. Step 5: Solve for x
    x = 3,662,825,345.49/69,835.44
  6. Step 6: Final answer
    x = 52,449.38

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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.