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Finding the Fourth Proportional to 70,984.50, 106,453.70 and 23,586.86

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Solution

The fourth proportional to 70,984.50, 106,453.70 and 23,586.86 is: 35,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984.50 : 106,453.70 = 23,586.86 : x
  2. Step 2: Convert to fraction form
    70,984.50/106,453.70 = 23,586.86/x
  3. Step 3: Cross multiply
    70,984.50x = 106,453.70 × 23,586.86
  4. Step 4: Simplify right side
    70,984.50x = 2,510,908,887.71
  5. Step 5: Solve for x
    x = 2,510,908,887.71/70,984.50
  6. Step 6: Final answer
    x = 35,372.64

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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.