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Finding the Fourth Proportional to 114,836.08, 172,234.68 and 31,730.32

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Solution

The fourth proportional to 114,836.08, 172,234.68 and 31,730.32 is: 47,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,836.08 : 172,234.68 = 31,730.32 : x
  2. Step 2: Convert to fraction form
    114,836.08/172,234.68 = 31,730.32/x
  3. Step 3: Cross multiply
    114,836.08x = 172,234.68 × 31,730.32
  4. Step 4: Simplify right side
    114,836.08x = 5,465,061,511.50
  5. Step 5: Solve for x
    x = 5,465,061,511.50/114,836.08
  6. Step 6: Final answer
    x = 47,590.11

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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.