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Finding the Fourth Proportional to 32,839.80, 49,259.70 and 22,471.80

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Solution

The fourth proportional to 32,839.80, 49,259.70 and 22,471.80 is: 33,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,839.80 : 49,259.70 = 22,471.80 : x
  2. Step 2: Convert to fraction form
    32,839.80/49,259.70 = 22,471.80/x
  3. Step 3: Cross multiply
    32,839.80x = 49,259.70 × 22,471.80
  4. Step 4: Simplify right side
    32,839.80x = 1,106,954,126.46
  5. Step 5: Solve for x
    x = 1,106,954,126.46/32,839.80
  6. Step 6: Final answer
    x = 33,707.70

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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.