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Finding the Fourth Proportional to 64,970, 89,658.65 and 35,162

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Solution

The fourth proportional to 64,970, 89,658.65 and 35,162 is: 48,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970 : 89,658.65 = 35,162 : x
  2. Step 2: Convert to fraction form
    64,970/89,658.65 = 35,162/x
  3. Step 3: Cross multiply
    64,970x = 89,658.65 × 35,162
  4. Step 4: Simplify right side
    64,970x = 3,152,577,451.30
  5. Step 5: Solve for x
    x = 3,152,577,451.30/64,970
  6. Step 6: Final answer
    x = 48,523.59

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