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Finding the Fourth Proportional to 75,817.50, 113,721.47 and 29,607.56

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Solution

The fourth proportional to 75,817.50, 113,721.47 and 29,607.56 is: 44,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,817.50 : 113,721.47 = 29,607.56 : x
  2. Step 2: Convert to fraction form
    75,817.50/113,721.47 = 29,607.56/x
  3. Step 3: Cross multiply
    75,817.50x = 113,721.47 × 29,607.56
  4. Step 4: Simplify right side
    75,817.50x = 3,367,014,529.67
  5. Step 5: Solve for x
    x = 3,367,014,529.67/75,817.50
  6. Step 6: Final answer
    x = 44,409.46

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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.