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Finding the Fourth Proportional to 84,767.72, 116,952.42 and 48,953

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Solution

The fourth proportional to 84,767.72, 116,952.42 and 48,953 is: 67,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,767.72 : 116,952.42 = 48,953 : x
  2. Step 2: Convert to fraction form
    84,767.72/116,952.42 = 48,953/x
  3. Step 3: Cross multiply
    84,767.72x = 116,952.42 × 48,953
  4. Step 4: Simplify right side
    84,767.72x = 5,725,171,816.26
  5. Step 5: Solve for x
    x = 5,725,171,816.26/84,767.72
  6. Step 6: Final answer
    x = 67,539.53

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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.