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Finding the Fourth Proportional to 48,852.84, 73,282.67 and 20,769.71

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Solution

The fourth proportional to 48,852.84, 73,282.67 and 20,769.71 is: 31,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,852.84 : 73,282.67 = 20,769.71 : x
  2. Step 2: Convert to fraction form
    48,852.84/73,282.67 = 20,769.71/x
  3. Step 3: Cross multiply
    48,852.84x = 73,282.67 × 20,769.71
  4. Step 4: Simplify right side
    48,852.84x = 1,522,059,333.66
  5. Step 5: Solve for x
    x = 1,522,059,333.66/48,852.84
  6. Step 6: Final answer
    x = 31,156.01

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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.