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Finding the Fourth Proportional to 82,190.15, 113,423.93 and 46,380.93

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Solution

The fourth proportional to 82,190.15, 113,423.93 and 46,380.93 is: 64,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,190.15 : 113,423.93 = 46,380.93 : x
  2. Step 2: Convert to fraction form
    82,190.15/113,423.93 = 46,380.93/x
  3. Step 3: Cross multiply
    82,190.15x = 113,423.93 × 46,380.93
  4. Step 4: Simplify right side
    82,190.15x = 5,260,707,357.65
  5. Step 5: Solve for x
    x = 5,260,707,357.65/82,190.15
  6. Step 6: Final answer
    x = 64,006.54

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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.