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Finding the Fourth Proportional to 101,017.41, 151,493.31 and 47,701.14

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Solution

The fourth proportional to 101,017.41, 151,493.31 and 47,701.14 is: 71,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,017.41 : 151,493.31 = 47,701.14 : x
  2. Step 2: Convert to fraction form
    101,017.41/151,493.31 = 47,701.14/x
  3. Step 3: Cross multiply
    101,017.41x = 151,493.31 × 47,701.14
  4. Step 4: Simplify right side
    101,017.41x = 7,226,403,589.37
  5. Step 5: Solve for x
    x = 7,226,403,589.37/101,017.41
  6. Step 6: Final answer
    x = 71,536.22

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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.