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Finding the Fourth Proportional to 32,177.92, 48,274.44 and 9,990.16

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Solution

The fourth proportional to 32,177.92, 48,274.44 and 9,990.16 is: 14,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.92 : 48,274.44 = 9,990.16 : x
  2. Step 2: Convert to fraction form
    32,177.92/48,274.44 = 9,990.16/x
  3. Step 3: Cross multiply
    32,177.92x = 48,274.44 × 9,990.16
  4. Step 4: Simplify right side
    32,177.92x = 482,269,379.51
  5. Step 5: Solve for x
    x = 482,269,379.51/32,177.92
  6. Step 6: Final answer
    x = 14,987.59

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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.