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Finding the Fourth Proportional to 32,787.83, 49,182.03 and 9,414.26

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Solution

The fourth proportional to 32,787.83, 49,182.03 and 9,414.26 is: 14,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,787.83 : 49,182.03 = 9,414.26 : x
  2. Step 2: Convert to fraction form
    32,787.83/49,182.03 = 9,414.26/x
  3. Step 3: Cross multiply
    32,787.83x = 49,182.03 × 9,414.26
  4. Step 4: Simplify right side
    32,787.83x = 463,012,171.84
  5. Step 5: Solve for x
    x = 463,012,171.84/32,787.83
  6. Step 6: Final answer
    x = 14,121.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.