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Finding the Fourth Proportional to 98,535.48, 135,979.86 and 56,096.76

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Solution

The fourth proportional to 98,535.48, 135,979.86 and 56,096.76 is: 77,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535.48 : 135,979.86 = 56,096.76 : x
  2. Step 2: Convert to fraction form
    98,535.48/135,979.86 = 56,096.76/x
  3. Step 3: Cross multiply
    98,535.48x = 135,979.86 × 56,096.76
  4. Step 4: Simplify right side
    98,535.48x = 7,628,029,571.25
  5. Step 5: Solve for x
    x = 7,628,029,571.25/98,535.48
  6. Step 6: Final answer
    x = 77,414.04

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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.