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Finding the Fourth Proportional to 82,461.84, 123,692.44 and 29,859.02

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Solution

The fourth proportional to 82,461.84, 123,692.44 and 29,859.02 is: 44,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,461.84 : 123,692.44 = 29,859.02 : x
  2. Step 2: Convert to fraction form
    82,461.84/123,692.44 = 29,859.02/x
  3. Step 3: Cross multiply
    82,461.84x = 123,692.44 × 29,859.02
  4. Step 4: Simplify right side
    82,461.84x = 3,693,335,039.81
  5. Step 5: Solve for x
    x = 3,693,335,039.81/82,461.84
  6. Step 6: Final answer
    x = 44,788.41

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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.