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Finding the Fourth Proportional to 70,816.16, 106,246.71 and 20,896.50

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Solution

The fourth proportional to 70,816.16, 106,246.71 and 20,896.50 is: 31,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816.16 : 106,246.71 = 20,896.50 : x
  2. Step 2: Convert to fraction form
    70,816.16/106,246.71 = 20,896.50/x
  3. Step 3: Cross multiply
    70,816.16x = 106,246.71 × 20,896.50
  4. Step 4: Simplify right side
    70,816.16x = 2,220,184,375.52
  5. Step 5: Solve for x
    x = 2,220,184,375.52/70,816.16
  6. Step 6: Final answer
    x = 31,351.38

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1.5x scale

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.