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Finding the Fourth Proportional to 32,803.20, 49,211.20 and 14,083.20

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Solution

The fourth proportional to 32,803.20, 49,211.20 and 14,083.20 is: 21,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.20 : 49,211.20 = 14,083.20 : x
  2. Step 2: Convert to fraction form
    32,803.20/49,211.20 = 14,083.20/x
  3. Step 3: Cross multiply
    32,803.20x = 49,211.20 × 14,083.20
  4. Step 4: Simplify right side
    32,803.20x = 693,051,171.84
  5. Step 5: Solve for x
    x = 693,051,171.84/32,803.20
  6. Step 6: Final answer
    x = 21,127.55

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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.