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Finding the Fourth Proportional to 64,794.30, 97,234.65 and 29,715.90

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Solution

The fourth proportional to 64,794.30, 97,234.65 and 29,715.90 is: 44,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,794.30 : 97,234.65 = 29,715.90 : x
  2. Step 2: Convert to fraction form
    64,794.30/97,234.65 = 29,715.90/x
  3. Step 3: Cross multiply
    64,794.30x = 97,234.65 × 29,715.90
  4. Step 4: Simplify right side
    64,794.30x = 2,889,415,135.94
  5. Step 5: Solve for x
    x = 2,889,415,135.94/64,794.30
  6. Step 6: Final answer
    x = 44,593.66

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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.