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Finding the Fourth Proportional to 64,967, 89,654.46 and 35,159

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Solution

The fourth proportional to 64,967, 89,654.46 and 35,159 is: 48,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967 : 89,654.46 = 35,159 : x
  2. Step 2: Convert to fraction form
    64,967/89,654.46 = 35,159/x
  3. Step 3: Cross multiply
    64,967x = 89,654.46 × 35,159
  4. Step 4: Simplify right side
    64,967x = 3,152,161,159.14
  5. Step 5: Solve for x
    x = 3,152,161,159.14/64,967
  6. Step 6: Final answer
    x = 48,519.42

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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.