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Finding the Fourth Proportional to 75,507.56, 113,261.70 and 22,917.50

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Solution

The fourth proportional to 75,507.56, 113,261.70 and 22,917.50 is: 34,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,507.56 : 113,261.70 = 22,917.50 : x
  2. Step 2: Convert to fraction form
    75,507.56/113,261.70 = 22,917.50/x
  3. Step 3: Cross multiply
    75,507.56x = 113,261.70 × 22,917.50
  4. Step 4: Simplify right side
    75,507.56x = 2,595,675,009.75
  5. Step 5: Solve for x
    x = 2,595,675,009.75/75,507.56
  6. Step 6: Final answer
    x = 34,376.36

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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.