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Finding the Fourth Proportional to 59,828.29, 82,563.60 and 32,971.78

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Solution

The fourth proportional to 59,828.29, 82,563.60 and 32,971.78 is: 45,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,828.29 : 82,563.60 = 32,971.78 : x
  2. Step 2: Convert to fraction form
    59,828.29/82,563.60 = 32,971.78/x
  3. Step 3: Cross multiply
    59,828.29x = 82,563.60 × 32,971.78
  4. Step 4: Simplify right side
    59,828.29x = 2,722,268,648.80
  5. Step 5: Solve for x
    x = 2,722,268,648.80/59,828.29
  6. Step 6: Final answer
    x = 45,501.36

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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.