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Finding the Fourth Proportional to 82,692.57, 124,029.63 and 22,725.64

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Solution

The fourth proportional to 82,692.57, 124,029.63 and 22,725.64 is: 34,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,692.57 : 124,029.63 = 22,725.64 : x
  2. Step 2: Convert to fraction form
    82,692.57/124,029.63 = 22,725.64/x
  3. Step 3: Cross multiply
    82,692.57x = 124,029.63 × 22,725.64
  4. Step 4: Simplify right side
    82,692.57x = 2,818,652,720.71
  5. Step 5: Solve for x
    x = 2,818,652,720.71/82,692.57
  6. Step 6: Final answer
    x = 34,085.92

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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.