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Finding the Fourth Proportional to 82,692.72, 114,124.44 and 48,711.93

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Solution

The fourth proportional to 82,692.72, 114,124.44 and 48,711.93 is: 67,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,692.72 : 114,124.44 = 48,711.93 : x
  2. Step 2: Convert to fraction form
    82,692.72/114,124.44 = 48,711.93/x
  3. Step 3: Cross multiply
    82,692.72x = 114,124.44 × 48,711.93
  4. Step 4: Simplify right side
    82,692.72x = 5,559,221,732.57
  5. Step 5: Solve for x
    x = 5,559,221,732.57/82,692.72
  6. Step 6: Final answer
    x = 67,227.46

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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.