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Finding the Fourth Proportional to 64,346.14, 96,514.50 and 19,971.70

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Solution

The fourth proportional to 64,346.14, 96,514.50 and 19,971.70 is: 29,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,346.14 : 96,514.50 = 19,971.70 : x
  2. Step 2: Convert to fraction form
    64,346.14/96,514.50 = 19,971.70/x
  3. Step 3: Cross multiply
    64,346.14x = 96,514.50 × 19,971.70
  4. Step 4: Simplify right side
    64,346.14x = 1,927,558,639.65
  5. Step 5: Solve for x
    x = 1,927,558,639.65/64,346.14
  6. Step 6: Final answer
    x = 29,956.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.