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Finding the Fourth Proportional to 86,438.50, 119,285.14 and 46,694.50

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Solution

The fourth proportional to 86,438.50, 119,285.14 and 46,694.50 is: 64,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,438.50 : 119,285.14 = 46,694.50 : x
  2. Step 2: Convert to fraction form
    86,438.50/119,285.14 = 46,694.50/x
  3. Step 3: Cross multiply
    86,438.50x = 119,285.14 × 46,694.50
  4. Step 4: Simplify right side
    86,438.50x = 5,569,959,969.73
  5. Step 5: Solve for x
    x = 5,569,959,969.73/86,438.50
  6. Step 6: Final answer
    x = 64,438.42

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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.