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Finding the Fourth Proportional to 70,453.80, 105,695.10 and 23,711.40

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Solution

The fourth proportional to 70,453.80, 105,695.10 and 23,711.40 is: 35,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,453.80 : 105,695.10 = 23,711.40 : x
  2. Step 2: Convert to fraction form
    70,453.80/105,695.10 = 23,711.40/x
  3. Step 3: Cross multiply
    70,453.80x = 105,695.10 × 23,711.40
  4. Step 4: Simplify right side
    70,453.80x = 2,506,178,794.14
  5. Step 5: Solve for x
    x = 2,506,178,794.14/70,453.80
  6. Step 6: Final answer
    x = 35,571.95

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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.