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Finding the Fourth Proportional to 68,345.46, 102,483.08 and 30,885.24

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Solution

The fourth proportional to 68,345.46, 102,483.08 and 30,885.24 is: 46,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,345.46 : 102,483.08 = 30,885.24 : x
  2. Step 2: Convert to fraction form
    68,345.46/102,483.08 = 30,885.24/x
  3. Step 3: Cross multiply
    68,345.46x = 102,483.08 × 30,885.24
  4. Step 4: Simplify right side
    68,345.46x = 3,165,214,367.31
  5. Step 5: Solve for x
    x = 3,165,214,367.31/68,345.46
  6. Step 6: Final answer
    x = 46,311.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.