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Finding the Fourth Proportional to 32,107.47, 48,143.81 and 17,880.33

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Solution

The fourth proportional to 32,107.47, 48,143.81 and 17,880.33 is: 26,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.47 : 48,143.81 = 17,880.33 : x
  2. Step 2: Convert to fraction form
    32,107.47/48,143.81 = 17,880.33/x
  3. Step 3: Cross multiply
    32,107.47x = 48,143.81 × 17,880.33
  4. Step 4: Simplify right side
    32,107.47x = 860,827,120.86
  5. Step 5: Solve for x
    x = 860,827,120.86/32,107.47
  6. Step 6: Final answer
    x = 26,810.81

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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.