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Finding the Fourth Proportional to 116,706.96, 175,045.86 and 32,473.44

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Solution

The fourth proportional to 116,706.96, 175,045.86 and 32,473.44 is: 48,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,706.96 : 175,045.86 = 32,473.44 : x
  2. Step 2: Convert to fraction form
    116,706.96/175,045.86 = 32,473.44/x
  3. Step 3: Cross multiply
    116,706.96x = 175,045.86 × 32,473.44
  4. Step 4: Simplify right side
    116,706.96x = 5,684,341,231.96
  5. Step 5: Solve for x
    x = 5,684,341,231.96/116,706.96
  6. Step 6: Final answer
    x = 48,706.10

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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.