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Finding the Fourth Proportional to 32,771.20, 49,162.20 and 10,590.16

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Solution

The fourth proportional to 32,771.20, 49,162.20 and 10,590.16 is: 15,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.20 : 49,162.20 = 10,590.16 : x
  2. Step 2: Convert to fraction form
    32,771.20/49,162.20 = 10,590.16/x
  3. Step 3: Cross multiply
    32,771.20x = 49,162.20 × 10,590.16
  4. Step 4: Simplify right side
    32,771.20x = 520,635,563.95
  5. Step 5: Solve for x
    x = 520,635,563.95/32,771.20
  6. Step 6: Final answer
    x = 15,886.99

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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.