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Finding the Fourth Proportional to 71,041.96, 106,582.92 and 31,064.46

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Solution

The fourth proportional to 71,041.96, 106,582.92 and 31,064.46 is: 46,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,041.96 : 106,582.92 = 31,064.46 : x
  2. Step 2: Convert to fraction form
    71,041.96/106,582.92 = 31,064.46/x
  3. Step 3: Cross multiply
    71,041.96x = 106,582.92 × 31,064.46
  4. Step 4: Simplify right side
    71,041.96x = 3,310,940,855.02
  5. Step 5: Solve for x
    x = 3,310,940,855.02/71,041.96
  6. Step 6: Final answer
    x = 46,605.43

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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.