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Finding the Fourth Proportional to 75,716.64, 113,572.56 and 23,124

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Solution

The fourth proportional to 75,716.64, 113,572.56 and 23,124 is: 34,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,716.64 : 113,572.56 = 23,124 : x
  2. Step 2: Convert to fraction form
    75,716.64/113,572.56 = 23,124/x
  3. Step 3: Cross multiply
    75,716.64x = 113,572.56 × 23,124
  4. Step 4: Simplify right side
    75,716.64x = 2,626,251,877.44
  5. Step 5: Solve for x
    x = 2,626,251,877.44/75,716.64
  6. Step 6: Final answer
    x = 34,685.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.