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Finding the Fourth Proportional to 32,787.36, 49,165.68 and 10,884

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Solution

The fourth proportional to 32,787.36, 49,165.68 and 10,884 is: 16,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,787.36 : 49,165.68 = 10,884 : x
  2. Step 2: Convert to fraction form
    32,787.36/49,165.68 = 10,884/x
  3. Step 3: Cross multiply
    32,787.36x = 49,165.68 × 10,884
  4. Step 4: Simplify right side
    32,787.36x = 535,119,261.12
  5. Step 5: Solve for x
    x = 535,119,261.12/32,787.36
  6. Step 6: Final answer
    x = 16,320.90

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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.