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Finding the Fourth Proportional to 32,157.57, 48,238.62 and 9,967.98

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Solution

The fourth proportional to 32,157.57, 48,238.62 and 9,967.98 is: 14,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.57 : 48,238.62 = 9,967.98 : x
  2. Step 2: Convert to fraction form
    32,157.57/48,238.62 = 9,967.98/x
  3. Step 3: Cross multiply
    32,157.57x = 48,238.62 × 9,967.98
  4. Step 4: Simplify right side
    32,157.57x = 480,841,599.39
  5. Step 5: Solve for x
    x = 480,841,599.39/32,157.57
  6. Step 6: Final answer
    x = 14,952.67

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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.