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Finding the Fourth Proportional to 75,079.64, 103,564.86 and 49,586.06

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Solution

The fourth proportional to 75,079.64, 103,564.86 and 49,586.06 is: 68,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,079.64 : 103,564.86 = 49,586.06 : x
  2. Step 2: Convert to fraction form
    75,079.64/103,564.86 = 49,586.06/x
  3. Step 3: Cross multiply
    75,079.64x = 103,564.86 × 49,586.06
  4. Step 4: Simplify right side
    75,079.64x = 5,135,372,720.06
  5. Step 5: Solve for x
    x = 5,135,372,720.06/75,079.64
  6. Step 6: Final answer
    x = 68,399.01

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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.