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Finding the Fourth Proportional to 69,838.14, 96,378.82 and 39,624.74

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Solution

The fourth proportional to 69,838.14, 96,378.82 and 39,624.74 is: 54,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.14 : 96,378.82 = 39,624.74 : x
  2. Step 2: Convert to fraction form
    69,838.14/96,378.82 = 39,624.74/x
  3. Step 3: Cross multiply
    69,838.14x = 96,378.82 × 39,624.74
  4. Step 4: Simplify right side
    69,838.14x = 3,818,985,684.01
  5. Step 5: Solve for x
    x = 3,818,985,684.01/69,838.14
  6. Step 6: Final answer
    x = 54,683.38

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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.