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Finding the Fourth Proportional to 32,157.10, 48,231.55 and 9,970.67

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Solution

The fourth proportional to 32,157.10, 48,231.55 and 9,970.67 is: 14,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.10 : 48,231.55 = 9,970.67 : x
  2. Step 2: Convert to fraction form
    32,157.10/48,231.55 = 9,970.67/x
  3. Step 3: Cross multiply
    32,157.10x = 48,231.55 × 9,970.67
  4. Step 4: Simplify right side
    32,157.10x = 480,900,866.03
  5. Step 5: Solve for x
    x = 480,900,866.03/32,157.10
  6. Step 6: Final answer
    x = 14,954.73

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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.