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Finding the Fourth Proportional to 41,762.56, 57,629.16 and 22,899.68

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Solution

The fourth proportional to 41,762.56, 57,629.16 and 22,899.68 is: 31,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,762.56 : 57,629.16 = 22,899.68 : x
  2. Step 2: Convert to fraction form
    41,762.56/57,629.16 = 22,899.68/x
  3. Step 3: Cross multiply
    41,762.56x = 57,629.16 × 22,899.68
  4. Step 4: Simplify right side
    41,762.56x = 1,319,689,322.67
  5. Step 5: Solve for x
    x = 1,319,689,322.67/41,762.56
  6. Step 6: Final answer
    x = 31,599.82

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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.