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Finding the Fourth Proportional to 69,812.53, 104,684.20 and 24,827.14

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Solution

The fourth proportional to 69,812.53, 104,684.20 and 24,827.14 is: 37,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,812.53 : 104,684.20 = 24,827.14 : x
  2. Step 2: Convert to fraction form
    69,812.53/104,684.20 = 24,827.14/x
  3. Step 3: Cross multiply
    69,812.53x = 104,684.20 × 24,827.14
  4. Step 4: Simplify right side
    69,812.53x = 2,599,009,357.98
  5. Step 5: Solve for x
    x = 2,599,009,357.98/69,812.53
  6. Step 6: Final answer
    x = 37,228.41

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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.