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Finding the Fourth Proportional to 59,897.70, 82,655.82 and 36,019.80

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Solution

The fourth proportional to 59,897.70, 82,655.82 and 36,019.80 is: 49,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,897.70 : 82,655.82 = 36,019.80 : x
  2. Step 2: Convert to fraction form
    59,897.70/82,655.82 = 36,019.80/x
  3. Step 3: Cross multiply
    59,897.70x = 82,655.82 × 36,019.80
  4. Step 4: Simplify right side
    59,897.70x = 2,977,246,105.24
  5. Step 5: Solve for x
    x = 2,977,246,105.24/59,897.70
  6. Step 6: Final answer
    x = 49,705.52

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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.