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Finding the Fourth Proportional to 32,181.22, 48,271.22 and 9,994.11

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Solution

The fourth proportional to 32,181.22, 48,271.22 and 9,994.11 is: 14,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,181.22 : 48,271.22 = 9,994.11 : x
  2. Step 2: Convert to fraction form
    32,181.22/48,271.22 = 9,994.11/x
  3. Step 3: Cross multiply
    32,181.22x = 48,271.22 × 9,994.11
  4. Step 4: Simplify right side
    32,181.22x = 482,427,882.51
  5. Step 5: Solve for x
    x = 482,427,882.51/32,181.22
  6. Step 6: Final answer
    x = 14,990.98

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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.