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Finding the Fourth Proportional to 32,157.30, 48,207.15 and 21,069.30

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Solution

The fourth proportional to 32,157.30, 48,207.15 and 21,069.30 is: 31,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.30 : 48,207.15 = 21,069.30 : x
  2. Step 2: Convert to fraction form
    32,157.30/48,207.15 = 21,069.30/x
  3. Step 3: Cross multiply
    32,157.30x = 48,207.15 × 21,069.30
  4. Step 4: Simplify right side
    32,157.30x = 1,015,690,905.50
  5. Step 5: Solve for x
    x = 1,015,690,905.50/32,157.30
  6. Step 6: Final answer
    x = 31,585.08

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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.