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Finding the Fourth Proportional to 101,866.24, 140,584.32 and 59,438.44

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Solution

The fourth proportional to 101,866.24, 140,584.32 and 59,438.44 is: 82,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,866.24 : 140,584.32 = 59,438.44 : x
  2. Step 2: Convert to fraction form
    101,866.24/140,584.32 = 59,438.44/x
  3. Step 3: Cross multiply
    101,866.24x = 140,584.32 × 59,438.44
  4. Step 4: Simplify right side
    101,866.24x = 8,356,112,669.26
  5. Step 5: Solve for x
    x = 8,356,112,669.26/101,866.24
  6. Step 6: Final answer
    x = 82,030.25

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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.