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Finding the Fourth Proportional to 70,101.34, 105,136.28 and 20,170.31

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Solution

The fourth proportional to 70,101.34, 105,136.28 and 20,170.31 is: 30,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,101.34 : 105,136.28 = 20,170.31 : x
  2. Step 2: Convert to fraction form
    70,101.34/105,136.28 = 20,170.31/x
  3. Step 3: Cross multiply
    70,101.34x = 105,136.28 × 20,170.31
  4. Step 4: Simplify right side
    70,101.34x = 2,120,630,834.17
  5. Step 5: Solve for x
    x = 2,120,630,834.17/70,101.34
  6. Step 6: Final answer
    x = 30,250.93

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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.