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Finding the Fourth Proportional to 70,327.42, 105,487.88 and 20,406.50

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Solution

The fourth proportional to 70,327.42, 105,487.88 and 20,406.50 is: 30,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,327.42 : 105,487.88 = 20,406.50 : x
  2. Step 2: Convert to fraction form
    70,327.42/105,487.88 = 20,406.50/x
  3. Step 3: Cross multiply
    70,327.42x = 105,487.88 × 20,406.50
  4. Step 4: Simplify right side
    70,327.42x = 2,152,638,423.22
  5. Step 5: Solve for x
    x = 2,152,638,423.22/70,327.42
  6. Step 6: Final answer
    x = 30,608.81

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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.