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Finding the Fourth Proportional to 32,100.25, 48,154.47 and 12,384.44

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Solution

The fourth proportional to 32,100.25, 48,154.47 and 12,384.44 is: 18,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100.25 : 48,154.47 = 12,384.44 : x
  2. Step 2: Convert to fraction form
    32,100.25/48,154.47 = 12,384.44/x
  3. Step 3: Cross multiply
    32,100.25x = 48,154.47 × 12,384.44
  4. Step 4: Simplify right side
    32,100.25x = 596,366,413.17
  5. Step 5: Solve for x
    x = 596,366,413.17/32,100.25
  6. Step 6: Final answer
    x = 18,578.25

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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.