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Finding the Fourth Proportional to 64,952, 89,633.76 and 35,144

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Solution

The fourth proportional to 64,952, 89,633.76 and 35,144 is: 48,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952 : 89,633.76 = 35,144 : x
  2. Step 2: Convert to fraction form
    64,952/89,633.76 = 35,144/x
  3. Step 3: Cross multiply
    64,952x = 89,633.76 × 35,144
  4. Step 4: Simplify right side
    64,952x = 3,150,088,861.44
  5. Step 5: Solve for x
    x = 3,150,088,861.44/64,952
  6. Step 6: Final answer
    x = 48,498.72

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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.