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Finding the Fourth Proportional to 76,942.22, 106,228.29 and 59,002.70

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Solution

The fourth proportional to 76,942.22, 106,228.29 and 59,002.70 is: 81,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,942.22 : 106,228.29 = 59,002.70 : x
  2. Step 2: Convert to fraction form
    76,942.22/106,228.29 = 59,002.70/x
  3. Step 3: Cross multiply
    76,942.22x = 106,228.29 × 59,002.70
  4. Step 4: Simplify right side
    76,942.22x = 6,267,755,926.38
  5. Step 5: Solve for x
    x = 6,267,755,926.38/76,942.22
  6. Step 6: Final answer
    x = 81,460.55

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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.