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Finding the Fourth Proportional to 32,836.40, 49,261.08 and 9,463.04

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Solution

The fourth proportional to 32,836.40, 49,261.08 and 9,463.04 is: 14,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,836.40 : 49,261.08 = 9,463.04 : x
  2. Step 2: Convert to fraction form
    32,836.40/49,261.08 = 9,463.04/x
  3. Step 3: Cross multiply
    32,836.40x = 49,261.08 × 9,463.04
  4. Step 4: Simplify right side
    32,836.40x = 466,159,570.48
  5. Step 5: Solve for x
    x = 466,159,570.48/32,836.40
  6. Step 6: Final answer
    x = 14,196.43

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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.