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Finding the Fourth Proportional to 86,653, 119,581.46 and 46,909

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Solution

The fourth proportional to 86,653, 119,581.46 and 46,909 is: 64,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,653 : 119,581.46 = 46,909 : x
  2. Step 2: Convert to fraction form
    86,653/119,581.46 = 46,909/x
  3. Step 3: Cross multiply
    86,653x = 119,581.46 × 46,909
  4. Step 4: Simplify right side
    86,653x = 5,609,446,707.14
  5. Step 5: Solve for x
    x = 5,609,446,707.14/86,653
  6. Step 6: Final answer
    x = 64,734.59

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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.