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Finding the Fourth Proportional to 59,902.49, 82,662.65 and 34,390.90

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Solution

The fourth proportional to 59,902.49, 82,662.65 and 34,390.90 is: 47,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,902.49 : 82,662.65 = 34,390.90 : x
  2. Step 2: Convert to fraction form
    59,902.49/82,662.65 = 34,390.90/x
  3. Step 3: Cross multiply
    59,902.49x = 82,662.65 × 34,390.90
  4. Step 4: Simplify right side
    59,902.49x = 2,842,843,319.44
  5. Step 5: Solve for x
    x = 2,842,843,319.44/59,902.49
  6. Step 6: Final answer
    x = 47,457.85

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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.