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Finding the Fourth Proportional to 70,426.68, 105,657.34 and 20,507.20

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Solution

The fourth proportional to 70,426.68, 105,657.34 and 20,507.20 is: 30,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,426.68 : 105,657.34 = 20,507.20 : x
  2. Step 2: Convert to fraction form
    70,426.68/105,657.34 = 20,507.20/x
  3. Step 3: Cross multiply
    70,426.68x = 105,657.34 × 20,507.20
  4. Step 4: Simplify right side
    70,426.68x = 2,166,736,202.85
  5. Step 5: Solve for x
    x = 2,166,736,202.85/70,426.68
  6. Step 6: Final answer
    x = 30,765.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.