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Finding the Fourth Proportional to 31,892, 47,845.68 and 10,004

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Solution

The fourth proportional to 31,892, 47,845.68 and 10,004 is: 15,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892 : 47,845.68 = 10,004 : x
  2. Step 2: Convert to fraction form
    31,892/47,845.68 = 10,004/x
  3. Step 3: Cross multiply
    31,892x = 47,845.68 × 10,004
  4. Step 4: Simplify right side
    31,892x = 478,648,182.72
  5. Step 5: Solve for x
    x = 478,648,182.72/31,892
  6. Step 6: Final answer
    x = 15,008.41

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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.