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Finding the Fourth Proportional to 137,583.56, 206,395.83 and 48,829.63

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Solution

The fourth proportional to 137,583.56, 206,395.83 and 48,829.63 is: 73,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,583.56 : 206,395.83 = 48,829.63 : x
  2. Step 2: Convert to fraction form
    137,583.56/206,395.83 = 48,829.63/x
  3. Step 3: Cross multiply
    137,583.56x = 206,395.83 × 48,829.63
  4. Step 4: Simplify right side
    137,583.56x = 10,078,231,496.45
  5. Step 5: Solve for x
    x = 10,078,231,496.45/137,583.56
  6. Step 6: Final answer
    x = 73,251.72

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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.