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Finding the Fourth Proportional to 31,832.20, 47,748.06 and 8,460.28

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Solution

The fourth proportional to 31,832.20, 47,748.06 and 8,460.28 is: 12,690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.20 : 47,748.06 = 8,460.28 : x
  2. Step 2: Convert to fraction form
    31,832.20/47,748.06 = 8,460.28/x
  3. Step 3: Cross multiply
    31,832.20x = 47,748.06 × 8,460.28
  4. Step 4: Simplify right side
    31,832.20x = 403,961,957.06
  5. Step 5: Solve for x
    x = 403,961,957.06/31,832.20
  6. Step 6: Final answer
    x = 12,690.36

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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.