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Finding the Fourth Proportional to 84,538.47, 116,662.86 and 48,728.28

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Solution

The fourth proportional to 84,538.47, 116,662.86 and 48,728.28 is: 67,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,538.47 : 116,662.86 = 48,728.28 : x
  2. Step 2: Convert to fraction form
    84,538.47/116,662.86 = 48,728.28/x
  3. Step 3: Cross multiply
    84,538.47x = 116,662.86 × 48,728.28
  4. Step 4: Simplify right side
    84,538.47x = 5,684,780,507.68
  5. Step 5: Solve for x
    x = 5,684,780,507.68/84,538.47
  6. Step 6: Final answer
    x = 67,244.89

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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.