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Finding the Fourth Proportional to 29,920.96, 41,275.74 and 22,835.08

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Solution

The fourth proportional to 29,920.96, 41,275.74 and 22,835.08 is: 31,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920.96 : 41,275.74 = 22,835.08 : x
  2. Step 2: Convert to fraction form
    29,920.96/41,275.74 = 22,835.08/x
  3. Step 3: Cross multiply
    29,920.96x = 41,275.74 × 22,835.08
  4. Step 4: Simplify right side
    29,920.96x = 942,534,824.96
  5. Step 5: Solve for x
    x = 942,534,824.96/29,920.96
  6. Step 6: Final answer
    x = 31,500.82

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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.