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Finding the Fourth Proportional to 32,817.32, 49,220.70 and 11,753.46

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Solution

The fourth proportional to 32,817.32, 49,220.70 and 11,753.46 is: 17,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817.32 : 49,220.70 = 11,753.46 : x
  2. Step 2: Convert to fraction form
    32,817.32/49,220.70 = 11,753.46/x
  3. Step 3: Cross multiply
    32,817.32x = 49,220.70 × 11,753.46
  4. Step 4: Simplify right side
    32,817.32x = 578,513,528.62
  5. Step 5: Solve for x
    x = 578,513,528.62/32,817.32
  6. Step 6: Final answer
    x = 17,628.30

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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.