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Finding the Fourth Proportional to 86,569, 119,465.46 and 46,825

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Solution

The fourth proportional to 86,569, 119,465.46 and 46,825 is: 64,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,569 : 119,465.46 = 46,825 : x
  2. Step 2: Convert to fraction form
    86,569/119,465.46 = 46,825/x
  3. Step 3: Cross multiply
    86,569x = 119,465.46 × 46,825
  4. Step 4: Simplify right side
    86,569x = 5,593,970,164.50
  5. Step 5: Solve for x
    x = 5,593,970,164.50/86,569
  6. Step 6: Final answer
    x = 64,618.63

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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.