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Finding the Fourth Proportional to 91,357.98, 137,051.74 and 28,163.31

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Solution

The fourth proportional to 91,357.98, 137,051.74 and 28,163.31 is: 42,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,357.98 : 137,051.74 = 28,163.31 : x
  2. Step 2: Convert to fraction form
    91,357.98/137,051.74 = 28,163.31/x
  3. Step 3: Cross multiply
    91,357.98x = 137,051.74 × 28,163.31
  4. Step 4: Simplify right side
    91,357.98x = 3,859,831,201.13
  5. Step 5: Solve for x
    x = 3,859,831,201.13/91,357.98
  6. Step 6: Final answer
    x = 42,249.53

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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.