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Finding the Fourth Proportional to 70,963.81, 106,453.95 and 23,583.13

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Solution

The fourth proportional to 70,963.81, 106,453.95 and 23,583.13 is: 35,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,963.81 : 106,453.95 = 23,583.13 : x
  2. Step 2: Convert to fraction form
    70,963.81/106,453.95 = 23,583.13/x
  3. Step 3: Cross multiply
    70,963.81x = 106,453.95 × 23,583.13
  4. Step 4: Simplify right side
    70,963.81x = 2,510,517,341.86
  5. Step 5: Solve for x
    x = 2,510,517,341.86/70,963.81
  6. Step 6: Final answer
    x = 35,377.43

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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.