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Finding the Fourth Proportional to 39,822, 59,733 and 12,120

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Solution

The fourth proportional to 39,822, 59,733 and 12,120 is: 18,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,822 : 59,733 = 12,120 : x
  2. Step 2: Convert to fraction form
    39,822/59,733 = 12,120/x
  3. Step 3: Cross multiply
    39,822x = 59,733 × 12,120
  4. Step 4: Simplify right side
    39,822x = 723,963,960
  5. Step 5: Solve for x
    x = 723,963,960/39,822
  6. Step 6: Final answer
    x = 18,180

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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.