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Finding the Fourth Proportional to 106,328.88, 159,524.50 and 31,451

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Solution

The fourth proportional to 106,328.88, 159,524.50 and 31,451 is: 47,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,328.88 : 159,524.50 = 31,451 : x
  2. Step 2: Convert to fraction form
    106,328.88/159,524.50 = 31,451/x
  3. Step 3: Cross multiply
    106,328.88x = 159,524.50 × 31,451
  4. Step 4: Simplify right side
    106,328.88x = 5,017,205,049.50
  5. Step 5: Solve for x
    x = 5,017,205,049.50/106,328.88
  6. Step 6: Final answer
    x = 47,185.72

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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.