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Finding the Fourth Proportional to 32,132.34, 48,200.94 and 9,948.06

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Solution

The fourth proportional to 32,132.34, 48,200.94 and 9,948.06 is: 14,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132.34 : 48,200.94 = 9,948.06 : x
  2. Step 2: Convert to fraction form
    32,132.34/48,200.94 = 9,948.06/x
  3. Step 3: Cross multiply
    32,132.34x = 48,200.94 × 9,948.06
  4. Step 4: Simplify right side
    32,132.34x = 479,505,843.18
  5. Step 5: Solve for x
    x = 479,505,843.18/32,132.34
  6. Step 6: Final answer
    x = 14,922.84

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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.