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Finding the Fourth Proportional to 71,041.39, 106,564.38 and 37,298.86

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Solution

The fourth proportional to 71,041.39, 106,564.38 and 37,298.86 is: 55,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,041.39 : 106,564.38 = 37,298.86 : x
  2. Step 2: Convert to fraction form
    71,041.39/106,564.38 = 37,298.86/x
  3. Step 3: Cross multiply
    71,041.39x = 106,564.38 × 37,298.86
  4. Step 4: Simplify right side
    71,041.39x = 3,974,729,883.94
  5. Step 5: Solve for x
    x = 3,974,729,883.94/71,041.39
  6. Step 6: Final answer
    x = 55,949.50

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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.