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Finding the Fourth Proportional to 32,394.02, 48,591.06 and 12,678.38

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Solution

The fourth proportional to 32,394.02, 48,591.06 and 12,678.38 is: 19,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394.02 : 48,591.06 = 12,678.38 : x
  2. Step 2: Convert to fraction form
    32,394.02/48,591.06 = 12,678.38/x
  3. Step 3: Cross multiply
    32,394.02x = 48,591.06 × 12,678.38
  4. Step 4: Simplify right side
    32,394.02x = 616,055,923.28
  5. Step 5: Solve for x
    x = 616,055,923.28/32,394.02
  6. Step 6: Final answer
    x = 19,017.58

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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.