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Finding the Fourth Proportional to 71,298, 106,907.76 and 48,834.54

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Solution

The fourth proportional to 71,298, 106,907.76 and 48,834.54 is: 73,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298 : 106,907.76 = 48,834.54 : x
  2. Step 2: Convert to fraction form
    71,298/106,907.76 = 48,834.54/x
  3. Step 3: Cross multiply
    71,298x = 106,907.76 × 48,834.54
  4. Step 4: Simplify right side
    71,298x = 5,220,791,282.03
  5. Step 5: Solve for x
    x = 5,220,791,282.03/71,298
  6. Step 6: Final answer
    x = 73,224.93

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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.