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Finding the Fourth Proportional to 32,203.16, 44,393.70 and 22,613.84

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Solution

The fourth proportional to 32,203.16, 44,393.70 and 22,613.84 is: 31,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.16 : 44,393.70 = 22,613.84 : x
  2. Step 2: Convert to fraction form
    32,203.16/44,393.70 = 22,613.84/x
  3. Step 3: Cross multiply
    32,203.16x = 44,393.70 × 22,613.84
  4. Step 4: Simplify right side
    32,203.16x = 1,003,912,028.81
  5. Step 5: Solve for x
    x = 1,003,912,028.81/32,203.16
  6. Step 6: Final answer
    x = 31,174.33

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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.