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Finding the Fourth Proportional to 32,157.03, 48,242.48 and 9,969.96

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Solution

The fourth proportional to 32,157.03, 48,242.48 and 9,969.96 is: 14,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.03 : 48,242.48 = 9,969.96 : x
  2. Step 2: Convert to fraction form
    32,157.03/48,242.48 = 9,969.96/x
  3. Step 3: Cross multiply
    32,157.03x = 48,242.48 × 9,969.96
  4. Step 4: Simplify right side
    32,157.03x = 480,975,546.05
  5. Step 5: Solve for x
    x = 480,975,546.05/32,157.03
  6. Step 6: Final answer
    x = 14,957.09

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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.