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Finding the Fourth Proportional to 101,098.85, 151,666.10 and 34,523.37

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Solution

The fourth proportional to 101,098.85, 151,666.10 and 34,523.37 is: 51,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,098.85 : 151,666.10 = 34,523.37 : x
  2. Step 2: Convert to fraction form
    101,098.85/151,666.10 = 34,523.37/x
  3. Step 3: Cross multiply
    101,098.85x = 151,666.10 × 34,523.37
  4. Step 4: Simplify right side
    101,098.85x = 5,236,024,973.07
  5. Step 5: Solve for x
    x = 5,236,024,973.07/101,098.85
  6. Step 6: Final answer
    x = 51,791.15

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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.