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Finding the Fourth Proportional to 33,178.80, 49,768.20 and 14,710.80

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Solution

The fourth proportional to 33,178.80, 49,768.20 and 14,710.80 is: 22,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.80 : 49,768.20 = 14,710.80 : x
  2. Step 2: Convert to fraction form
    33,178.80/49,768.20 = 14,710.80/x
  3. Step 3: Cross multiply
    33,178.80x = 49,768.20 × 14,710.80
  4. Step 4: Simplify right side
    33,178.80x = 732,130,036.56
  5. Step 5: Solve for x
    x = 732,130,036.56/33,178.80
  6. Step 6: Final answer
    x = 22,066.20

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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.