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Finding the Fourth Proportional to 82,294.65, 113,573.61 and 46,491.23

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Solution

The fourth proportional to 82,294.65, 113,573.61 and 46,491.23 is: 64,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,294.65 : 113,573.61 = 46,491.23 : x
  2. Step 2: Convert to fraction form
    82,294.65/113,573.61 = 46,491.23/x
  3. Step 3: Cross multiply
    82,294.65x = 113,573.61 × 46,491.23
  4. Step 4: Simplify right side
    82,294.65x = 5,280,177,108.37
  5. Step 5: Solve for x
    x = 5,280,177,108.37/82,294.65
  6. Step 6: Final answer
    x = 64,161.85

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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.