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Finding the Fourth Proportional to 30,693.14, 46,002.02 and 15,893.62

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Solution

The fourth proportional to 30,693.14, 46,002.02 and 15,893.62 is: 23,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.14 : 46,002.02 = 15,893.62 : x
  2. Step 2: Convert to fraction form
    30,693.14/46,002.02 = 15,893.62/x
  3. Step 3: Cross multiply
    30,693.14x = 46,002.02 × 15,893.62
  4. Step 4: Simplify right side
    30,693.14x = 731,138,625.11
  5. Step 5: Solve for x
    x = 731,138,625.11/30,693.14
  6. Step 6: Final answer
    x = 23,820.91

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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.