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Finding the Fourth Proportional to 71,026.46, 106,552.68 and 55,137.50

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Solution

The fourth proportional to 71,026.46, 106,552.68 and 55,137.50 is: 82,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,026.46 : 106,552.68 = 55,137.50 : x
  2. Step 2: Convert to fraction form
    71,026.46/106,552.68 = 55,137.50/x
  3. Step 3: Cross multiply
    71,026.46x = 106,552.68 × 55,137.50
  4. Step 4: Simplify right side
    71,026.46x = 5,875,048,393.50
  5. Step 5: Solve for x
    x = 5,875,048,393.50/71,026.46
  6. Step 6: Final answer
    x = 82,716.33

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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.