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Finding the Fourth Proportional to 70,157.50, 105,245.20 and 32,197.56

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Solution

The fourth proportional to 70,157.50, 105,245.20 and 32,197.56 is: 48,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,157.50 : 105,245.20 = 32,197.56 : x
  2. Step 2: Convert to fraction form
    70,157.50/105,245.20 = 32,197.56/x
  3. Step 3: Cross multiply
    70,157.50x = 105,245.20 × 32,197.56
  4. Step 4: Simplify right side
    70,157.50x = 3,388,638,641.71
  5. Step 5: Solve for x
    x = 3,388,638,641.71/70,157.50
  6. Step 6: Final answer
    x = 48,300.45

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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.