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Finding the Fourth Proportional to 32,690.10, 48,992.99 and 15,819.14

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Solution

The fourth proportional to 32,690.10, 48,992.99 and 15,819.14 is: 23,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,690.10 : 48,992.99 = 15,819.14 : x
  2. Step 2: Convert to fraction form
    32,690.10/48,992.99 = 15,819.14/x
  3. Step 3: Cross multiply
    32,690.10x = 48,992.99 × 15,819.14
  4. Step 4: Simplify right side
    32,690.10x = 775,026,967.83
  5. Step 5: Solve for x
    x = 775,026,967.83/32,690.10
  6. Step 6: Final answer
    x = 23,708.31

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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.