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Finding the Fourth Proportional to 30,584.64, 42,167.34 and 20,514.72

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Solution

The fourth proportional to 30,584.64, 42,167.34 and 20,514.72 is: 28,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.64 : 42,167.34 = 20,514.72 : x
  2. Step 2: Convert to fraction form
    30,584.64/42,167.34 = 20,514.72/x
  3. Step 3: Cross multiply
    30,584.64x = 42,167.34 × 20,514.72
  4. Step 4: Simplify right side
    30,584.64x = 865,051,173.24
  5. Step 5: Solve for x
    x = 865,051,173.24/30,584.64
  6. Step 6: Final answer
    x = 28,283.84

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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.