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Finding the Fourth Proportional to 48,717.92, 73,068.63 and 13,649.51

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Solution

The fourth proportional to 48,717.92, 73,068.63 and 13,649.51 is: 20,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,717.92 : 73,068.63 = 13,649.51 : x
  2. Step 2: Convert to fraction form
    48,717.92/73,068.63 = 13,649.51/x
  3. Step 3: Cross multiply
    48,717.92x = 73,068.63 × 13,649.51
  4. Step 4: Simplify right side
    48,717.92x = 997,350,995.87
  5. Step 5: Solve for x
    x = 997,350,995.87/48,717.92
  6. Step 6: Final answer
    x = 20,471.95

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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.