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Finding the Fourth Proportional to 59,770.62, 82,483.68 and 35,897.70

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Solution

The fourth proportional to 59,770.62, 82,483.68 and 35,897.70 is: 49,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,770.62 : 82,483.68 = 35,897.70 : x
  2. Step 2: Convert to fraction form
    59,770.62/82,483.68 = 35,897.70/x
  3. Step 3: Cross multiply
    59,770.62x = 82,483.68 × 35,897.70
  4. Step 4: Simplify right side
    59,770.62x = 2,960,974,399.54
  5. Step 5: Solve for x
    x = 2,960,974,399.54/59,770.62
  6. Step 6: Final answer
    x = 49,538.96

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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.