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Finding the Fourth Proportional to 32,972.58, 49,428.90 and 12,181.50

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Solution

The fourth proportional to 32,972.58, 49,428.90 and 12,181.50 is: 18,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.58 : 49,428.90 = 12,181.50 : x
  2. Step 2: Convert to fraction form
    32,972.58/49,428.90 = 12,181.50/x
  3. Step 3: Cross multiply
    32,972.58x = 49,428.90 × 12,181.50
  4. Step 4: Simplify right side
    32,972.58x = 602,118,145.35
  5. Step 5: Solve for x
    x = 602,118,145.35/32,972.58
  6. Step 6: Final answer
    x = 18,261.18

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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.