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Finding the Fourth Proportional to 70,052.31, 105,077.45 and 32,591.43

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Solution

The fourth proportional to 70,052.31, 105,077.45 and 32,591.43 is: 48,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,052.31 : 105,077.45 = 32,591.43 : x
  2. Step 2: Convert to fraction form
    70,052.31/105,077.45 = 32,591.43/x
  3. Step 3: Cross multiply
    70,052.31x = 105,077.45 × 32,591.43
  4. Step 4: Simplify right side
    70,052.31x = 3,424,624,193.30
  5. Step 5: Solve for x
    x = 3,424,624,193.30/70,052.31
  6. Step 6: Final answer
    x = 48,886.67

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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.