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Finding the Fourth Proportional to 35,679.84, 53,519.42 and 10,722.02

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Solution

The fourth proportional to 35,679.84, 53,519.42 and 10,722.02 is: 16,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,679.84 : 53,519.42 = 10,722.02 : x
  2. Step 2: Convert to fraction form
    35,679.84/53,519.42 = 10,722.02/x
  3. Step 3: Cross multiply
    35,679.84x = 53,519.42 × 10,722.02
  4. Step 4: Simplify right side
    35,679.84x = 573,836,291.63
  5. Step 5: Solve for x
    x = 573,836,291.63/35,679.84
  6. Step 6: Final answer
    x = 16,082.93

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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.