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Finding the Fourth Proportional to 76,837.73, 106,035.62 and 42,846.62

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Solution

The fourth proportional to 76,837.73, 106,035.62 and 42,846.62 is: 59,128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,837.73 : 106,035.62 = 42,846.62 : x
  2. Step 2: Convert to fraction form
    76,837.73/106,035.62 = 42,846.62/x
  3. Step 3: Cross multiply
    76,837.73x = 106,035.62 × 42,846.62
  4. Step 4: Simplify right side
    76,837.73x = 4,543,267,768.64
  5. Step 5: Solve for x
    x = 4,543,267,768.64/76,837.73
  6. Step 6: Final answer
    x = 59,128.08

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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.