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Finding the Fourth Proportional to 48,838.92, 73,287.42 and 21,819.15

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Solution

The fourth proportional to 48,838.92, 73,287.42 and 21,819.15 is: 32,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,838.92 : 73,287.42 = 21,819.15 : x
  2. Step 2: Convert to fraction form
    48,838.92/73,287.42 = 21,819.15/x
  3. Step 3: Cross multiply
    48,838.92x = 73,287.42 × 21,819.15
  4. Step 4: Simplify right side
    48,838.92x = 1,599,069,210.09
  5. Step 5: Solve for x
    x = 1,599,069,210.09/48,838.92
  6. Step 6: Final answer
    x = 32,741.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.