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Finding the Fourth Proportional to 83,477.60, 115,198.44 and 45,751.76

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Solution

The fourth proportional to 83,477.60, 115,198.44 and 45,751.76 is: 63,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477.60 : 115,198.44 = 45,751.76 : x
  2. Step 2: Convert to fraction form
    83,477.60/115,198.44 = 45,751.76/x
  3. Step 3: Cross multiply
    83,477.60x = 115,198.44 × 45,751.76
  4. Step 4: Simplify right side
    83,477.60x = 5,270,531,379.25
  5. Step 5: Solve for x
    x = 5,270,531,379.25/83,477.60
  6. Step 6: Final answer
    x = 63,137.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.