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Finding the Fourth Proportional to 40,940.80, 61,411.20 and 31,099.30

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Solution

The fourth proportional to 40,940.80, 61,411.20 and 31,099.30 is: 46,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,940.80 : 61,411.20 = 31,099.30 : x
  2. Step 2: Convert to fraction form
    40,940.80/61,411.20 = 31,099.30/x
  3. Step 3: Cross multiply
    40,940.80x = 61,411.20 × 31,099.30
  4. Step 4: Simplify right side
    40,940.80x = 1,909,845,332.16
  5. Step 5: Solve for x
    x = 1,909,845,332.16/40,940.80
  6. Step 6: Final answer
    x = 46,648.95

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Why These Related Problems?

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