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Finding the Fourth Proportional to 76,841.67, 106,035.05 and 42,847.49

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Solution

The fourth proportional to 76,841.67, 106,035.05 and 42,847.49 is: 59,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.67 : 106,035.05 = 42,847.49 : x
  2. Step 2: Convert to fraction form
    76,841.67/106,035.05 = 42,847.49/x
  3. Step 3: Cross multiply
    76,841.67x = 106,035.05 × 42,847.49
  4. Step 4: Simplify right side
    76,841.67x = 4,543,336,116.73
  5. Step 5: Solve for x
    x = 4,543,336,116.73/76,841.67
  6. Step 6: Final answer
    x = 59,125.94

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1.5x scale

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.