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Finding the Fourth Proportional to 35,892.51, 49,532.14 and 19,761.70

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Solution

The fourth proportional to 35,892.51, 49,532.14 and 19,761.70 is: 27,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892.51 : 49,532.14 = 19,761.70 : x
  2. Step 2: Convert to fraction form
    35,892.51/49,532.14 = 19,761.70/x
  3. Step 3: Cross multiply
    35,892.51x = 49,532.14 × 19,761.70
  4. Step 4: Simplify right side
    35,892.51x = 978,839,291.04
  5. Step 5: Solve for x
    x = 978,839,291.04/35,892.51
  6. Step 6: Final answer
    x = 27,271.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.