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Finding the Fourth Proportional to 30,090.42, 41,523.17 and 16,475.84

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Solution

The fourth proportional to 30,090.42, 41,523.17 and 16,475.84 is: 22,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090.42 : 41,523.17 = 16,475.84 : x
  2. Step 2: Convert to fraction form
    30,090.42/41,523.17 = 16,475.84/x
  3. Step 3: Cross multiply
    30,090.42x = 41,523.17 × 16,475.84
  4. Step 4: Simplify right side
    30,090.42x = 684,128,970.93
  5. Step 5: Solve for x
    x = 684,128,970.93/30,090.42
  6. Step 6: Final answer
    x = 22,735.77

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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.