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Finding the Fourth Proportional to 82,412.90, 113,732.04 and 46,608.26

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Solution

The fourth proportional to 82,412.90, 113,732.04 and 46,608.26 is: 64,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412.90 : 113,732.04 = 46,608.26 : x
  2. Step 2: Convert to fraction form
    82,412.90/113,732.04 = 46,608.26/x
  3. Step 3: Cross multiply
    82,412.90x = 113,732.04 × 46,608.26
  4. Step 4: Simplify right side
    82,412.90x = 5,300,852,490.65
  5. Step 5: Solve for x
    x = 5,300,852,490.65/82,412.90
  6. Step 6: Final answer
    x = 64,320.66

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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.