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Finding the Fourth Proportional to 75,109.64, 103,540.90 and 57,173.40

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Solution

The fourth proportional to 75,109.64, 103,540.90 and 57,173.40 is: 78,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,109.64 : 103,540.90 = 57,173.40 : x
  2. Step 2: Convert to fraction form
    75,109.64/103,540.90 = 57,173.40/x
  3. Step 3: Cross multiply
    75,109.64x = 103,540.90 × 57,173.40
  4. Step 4: Simplify right side
    75,109.64x = 5,919,785,292.06
  5. Step 5: Solve for x
    x = 5,919,785,292.06/75,109.64
  6. Step 6: Final answer
    x = 78,815.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.