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Finding the Fourth Proportional to 70,035.64, 96,650.22 and 39,817.24

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Solution

The fourth proportional to 70,035.64, 96,650.22 and 39,817.24 is: 54,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,035.64 : 96,650.22 = 39,817.24 : x
  2. Step 2: Convert to fraction form
    70,035.64/96,650.22 = 39,817.24/x
  3. Step 3: Cross multiply
    70,035.64x = 96,650.22 × 39,817.24
  4. Step 4: Simplify right side
    70,035.64x = 3,848,345,005.79
  5. Step 5: Solve for x
    x = 3,848,345,005.79/70,035.64
  6. Step 6: Final answer
    x = 54,948.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.