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Finding the Fourth Proportional to 32,721.49, 49,084.06 and 10,533.16

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Solution

The fourth proportional to 32,721.49, 49,084.06 and 10,533.16 is: 15,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,721.49 : 49,084.06 = 10,533.16 : x
  2. Step 2: Convert to fraction form
    32,721.49/49,084.06 = 10,533.16/x
  3. Step 3: Cross multiply
    32,721.49x = 49,084.06 × 10,533.16
  4. Step 4: Simplify right side
    32,721.49x = 517,010,257.43
  5. Step 5: Solve for x
    x = 517,010,257.43/32,721.49
  6. Step 6: Final answer
    x = 15,800.33

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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.