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Finding the Fourth Proportional to 30,353.22, 41,872.55 and 20,284.16

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Solution

The fourth proportional to 30,353.22, 41,872.55 and 20,284.16 is: 27,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,353.22 : 41,872.55 = 20,284.16 : x
  2. Step 2: Convert to fraction form
    30,353.22/41,872.55 = 20,284.16/x
  3. Step 3: Cross multiply
    30,353.22x = 41,872.55 × 20,284.16
  4. Step 4: Simplify right side
    30,353.22x = 849,349,193.02
  5. Step 5: Solve for x
    x = 849,349,193.02/30,353.22
  6. Step 6: Final answer
    x = 27,982.18

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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.