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Finding the Fourth Proportional to 69,692.51, 104,525.97 and 31,732.79

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Solution

The fourth proportional to 69,692.51, 104,525.97 and 31,732.79 is: 47,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,692.51 : 104,525.97 = 31,732.79 : x
  2. Step 2: Convert to fraction form
    69,692.51/104,525.97 = 31,732.79/x
  3. Step 3: Cross multiply
    69,692.51x = 104,525.97 × 31,732.79
  4. Step 4: Simplify right side
    69,692.51x = 3,316,900,013.93
  5. Step 5: Solve for x
    x = 3,316,900,013.93/69,692.51
  6. Step 6: Final answer
    x = 47,593.35

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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.