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Finding the Fourth Proportional to 32,147.04, 48,202.68 and 9,954.12

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Solution

The fourth proportional to 32,147.04, 48,202.68 and 9,954.12 is: 14,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.04 : 48,202.68 = 9,954.12 : x
  2. Step 2: Convert to fraction form
    32,147.04/48,202.68 = 9,954.12/x
  3. Step 3: Cross multiply
    32,147.04x = 48,202.68 × 9,954.12
  4. Step 4: Simplify right side
    32,147.04x = 479,815,261.04
  5. Step 5: Solve for x
    x = 479,815,261.04/32,147.04
  6. Step 6: Final answer
    x = 14,925.64

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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.