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Finding the Fourth Proportional to 83,690.50, 125,536.41 and 31,099.94

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Solution

The fourth proportional to 83,690.50, 125,536.41 and 31,099.94 is: 46,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,690.50 : 125,536.41 = 31,099.94 : x
  2. Step 2: Convert to fraction form
    83,690.50/125,536.41 = 31,099.94/x
  3. Step 3: Cross multiply
    83,690.50x = 125,536.41 × 31,099.94
  4. Step 4: Simplify right side
    83,690.50x = 3,904,174,818.82
  5. Step 5: Solve for x
    x = 3,904,174,818.82/83,690.50
  6. Step 6: Final answer
    x = 46,650.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.