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Finding the Fourth Proportional to 34,162.34, 51,245.08 and 10,468.20

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Solution

The fourth proportional to 34,162.34, 51,245.08 and 10,468.20 is: 15,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.34 : 51,245.08 = 10,468.20 : x
  2. Step 2: Convert to fraction form
    34,162.34/51,245.08 = 10,468.20/x
  3. Step 3: Cross multiply
    34,162.34x = 51,245.08 × 10,468.20
  4. Step 4: Simplify right side
    34,162.34x = 536,443,746.46
  5. Step 5: Solve for x
    x = 536,443,746.46/34,162.34
  6. Step 6: Final answer
    x = 15,702.78

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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.