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Finding the Fourth Proportional to 28,515.69, 42,784.50 and 20,090.31

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Solution

The fourth proportional to 28,515.69, 42,784.50 and 20,090.31 is: 30,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,515.69 : 42,784.50 = 20,090.31 : x
  2. Step 2: Convert to fraction form
    28,515.69/42,784.50 = 20,090.31/x
  3. Step 3: Cross multiply
    28,515.69x = 42,784.50 × 20,090.31
  4. Step 4: Simplify right side
    28,515.69x = 859,553,868.20
  5. Step 5: Solve for x
    x = 859,553,868.20/28,515.69
  6. Step 6: Final answer
    x = 30,143.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.