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Finding the Fourth Proportional to 64,965, 89,651.82 and 35,157

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Solution

The fourth proportional to 64,965, 89,651.82 and 35,157 is: 48,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,965 : 89,651.82 = 35,157 : x
  2. Step 2: Convert to fraction form
    64,965/89,651.82 = 35,157/x
  3. Step 3: Cross multiply
    64,965x = 89,651.82 × 35,157
  4. Step 4: Simplify right side
    64,965x = 3,151,889,035.74
  5. Step 5: Solve for x
    x = 3,151,889,035.74/64,965
  6. Step 6: Final answer
    x = 48,516.72

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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.