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Finding the Fourth Proportional to 75,611.30, 113,384.55 and 31,223.30

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Solution

The fourth proportional to 75,611.30, 113,384.55 and 31,223.30 is: 46,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,611.30 : 113,384.55 = 31,223.30 : x
  2. Step 2: Convert to fraction form
    75,611.30/113,384.55 = 31,223.30/x
  3. Step 3: Cross multiply
    75,611.30x = 113,384.55 × 31,223.30
  4. Step 4: Simplify right side
    75,611.30x = 3,540,239,820.02
  5. Step 5: Solve for x
    x = 3,540,239,820.02/75,611.30
  6. Step 6: Final answer
    x = 46,821.57

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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.