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Finding the Fourth Proportional to 48,903.17, 73,364.16 and 20,822.69

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Solution

The fourth proportional to 48,903.17, 73,364.16 and 20,822.69 is: 31,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,903.17 : 73,364.16 = 20,822.69 : x
  2. Step 2: Convert to fraction form
    48,903.17/73,364.16 = 20,822.69/x
  3. Step 3: Cross multiply
    48,903.17x = 73,364.16 × 20,822.69
  4. Step 4: Simplify right side
    48,903.17x = 1,527,639,160.79
  5. Step 5: Solve for x
    x = 1,527,639,160.79/48,903.17
  6. Step 6: Final answer
    x = 31,238.04

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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.