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Finding the Fourth Proportional to 71,653.92, 107,354.30 and 43,516.52

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Solution

The fourth proportional to 71,653.92, 107,354.30 and 43,516.52 is: 65,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,653.92 : 107,354.30 = 43,516.52 : x
  2. Step 2: Convert to fraction form
    71,653.92/107,354.30 = 43,516.52/x
  3. Step 3: Cross multiply
    71,653.92x = 107,354.30 × 43,516.52
  4. Step 4: Simplify right side
    71,653.92x = 4,671,685,543.04
  5. Step 5: Solve for x
    x = 4,671,685,543.04/71,653.92
  6. Step 6: Final answer
    x = 65,197.91

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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.