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Finding the Fourth Proportional to 30,892.47, 46,306.89 and 12,164.91

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Solution

The fourth proportional to 30,892.47, 46,306.89 and 12,164.91 is: 18,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.47 : 46,306.89 = 12,164.91 : x
  2. Step 2: Convert to fraction form
    30,892.47/46,306.89 = 12,164.91/x
  3. Step 3: Cross multiply
    30,892.47x = 46,306.89 × 12,164.91
  4. Step 4: Simplify right side
    30,892.47x = 563,319,149.23
  5. Step 5: Solve for x
    x = 563,319,149.23/30,892.47
  6. Step 6: Final answer
    x = 18,234.84

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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.