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Finding the Fourth Proportional to 31,750.58, 47,622.21 and 8,378.84

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Solution

The fourth proportional to 31,750.58, 47,622.21 and 8,378.84 is: 12,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750.58 : 47,622.21 = 8,378.84 : x
  2. Step 2: Convert to fraction form
    31,750.58/47,622.21 = 8,378.84/x
  3. Step 3: Cross multiply
    31,750.58x = 47,622.21 × 8,378.84
  4. Step 4: Simplify right side
    31,750.58x = 399,018,639.93
  5. Step 5: Solve for x
    x = 399,018,639.93/31,750.58
  6. Step 6: Final answer
    x = 12,567.29

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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.