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Finding the Fourth Proportional to 32,772.14, 49,207.44 and 18,748

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Solution

The fourth proportional to 32,772.14, 49,207.44 and 18,748 is: 28,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772.14 : 49,207.44 = 18,748 : x
  2. Step 2: Convert to fraction form
    32,772.14/49,207.44 = 18,748/x
  3. Step 3: Cross multiply
    32,772.14x = 49,207.44 × 18,748
  4. Step 4: Simplify right side
    32,772.14x = 922,541,085.12
  5. Step 5: Solve for x
    x = 922,541,085.12/32,772.14
  6. Step 6: Final answer
    x = 28,150.16

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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.