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Finding the Fourth Proportional to 82,847.40, 124,291.80 and 26,692.80

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Solution

The fourth proportional to 82,847.40, 124,291.80 and 26,692.80 is: 40,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,847.40 : 124,291.80 = 26,692.80 : x
  2. Step 2: Convert to fraction form
    82,847.40/124,291.80 = 26,692.80/x
  3. Step 3: Cross multiply
    82,847.40x = 124,291.80 × 26,692.80
  4. Step 4: Simplify right side
    82,847.40x = 3,317,696,159.04
  5. Step 5: Solve for x
    x = 3,317,696,159.04/82,847.40
  6. Step 6: Final answer
    x = 40,045.87

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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.