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Finding the Fourth Proportional to 32,271.24, 48,387.72 and 12,282.24

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Solution

The fourth proportional to 32,271.24, 48,387.72 and 12,282.24 is: 18,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271.24 : 48,387.72 = 12,282.24 : x
  2. Step 2: Convert to fraction form
    32,271.24/48,387.72 = 12,282.24/x
  3. Step 3: Cross multiply
    32,271.24x = 48,387.72 × 12,282.24
  4. Step 4: Simplify right side
    32,271.24x = 594,309,590.09
  5. Step 5: Solve for x
    x = 594,309,590.09/32,271.24
  6. Step 6: Final answer
    x = 18,416.08

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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.