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Finding the Fourth Proportional to 75,098.53, 103,659.03 and 43,288.60

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Solution

The fourth proportional to 75,098.53, 103,659.03 and 43,288.60 is: 59,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098.53 : 103,659.03 = 43,288.60 : x
  2. Step 2: Convert to fraction form
    75,098.53/103,659.03 = 43,288.60/x
  3. Step 3: Cross multiply
    75,098.53x = 103,659.03 × 43,288.60
  4. Step 4: Simplify right side
    75,098.53x = 4,487,254,286.06
  5. Step 5: Solve for x
    x = 4,487,254,286.06/75,098.53
  6. Step 6: Final answer
    x = 59,751.56

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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.