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Finding the Fourth Proportional to 83,050.94, 114,595.20 and 49,064.96

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Solution

The fourth proportional to 83,050.94, 114,595.20 and 49,064.96 is: 67,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,050.94 : 114,595.20 = 49,064.96 : x
  2. Step 2: Convert to fraction form
    83,050.94/114,595.20 = 49,064.96/x
  3. Step 3: Cross multiply
    83,050.94x = 114,595.20 × 49,064.96
  4. Step 4: Simplify right side
    83,050.94x = 5,622,608,331.22
  5. Step 5: Solve for x
    x = 5,622,608,331.22/83,050.94
  6. Step 6: Final answer
    x = 67,700.72

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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.