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Finding the Fourth Proportional to 76,950.88, 106,236.36 and 58,657.97

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Solution

The fourth proportional to 76,950.88, 106,236.36 and 58,657.97 is: 80,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,950.88 : 106,236.36 = 58,657.97 : x
  2. Step 2: Convert to fraction form
    76,950.88/106,236.36 = 58,657.97/x
  3. Step 3: Cross multiply
    76,950.88x = 106,236.36 × 58,657.97
  4. Step 4: Simplify right side
    76,950.88x = 6,231,609,483.38
  5. Step 5: Solve for x
    x = 6,231,609,483.38/76,950.88
  6. Step 6: Final answer
    x = 80,981.66

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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.