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Finding the Fourth Proportional to 34,456.20, 51,684.30 and 9,832.20

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Solution

The fourth proportional to 34,456.20, 51,684.30 and 9,832.20 is: 14,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,456.20 : 51,684.30 = 9,832.20 : x
  2. Step 2: Convert to fraction form
    34,456.20/51,684.30 = 9,832.20/x
  3. Step 3: Cross multiply
    34,456.20x = 51,684.30 × 9,832.20
  4. Step 4: Simplify right side
    34,456.20x = 508,170,374.46
  5. Step 5: Solve for x
    x = 508,170,374.46/34,456.20
  6. Step 6: Final answer
    x = 14,748.30

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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.