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Finding the Fourth Proportional to 81,833.92, 122,532 and 46,725.28

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Solution

The fourth proportional to 81,833.92, 122,532 and 46,725.28 is: 69,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,833.92 : 122,532 = 46,725.28 : x
  2. Step 2: Convert to fraction form
    81,833.92/122,532 = 46,725.28/x
  3. Step 3: Cross multiply
    81,833.92x = 122,532 × 46,725.28
  4. Step 4: Simplify right side
    81,833.92x = 5,725,342,008.96
  5. Step 5: Solve for x
    x = 5,725,342,008.96/81,833.92
  6. Step 6: Final answer
    x = 69,962.94

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Why These Related Problems?

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