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Finding the Fourth Proportional to 31,489.46, 47,220.06 and 9,295.05

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Solution

The fourth proportional to 31,489.46, 47,220.06 and 9,295.05 is: 13,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,489.46 : 47,220.06 = 9,295.05 : x
  2. Step 2: Convert to fraction form
    31,489.46/47,220.06 = 9,295.05/x
  3. Step 3: Cross multiply
    31,489.46x = 47,220.06 × 9,295.05
  4. Step 4: Simplify right side
    31,489.46x = 438,913,030.63
  5. Step 5: Solve for x
    x = 438,913,030.63/31,489.46
  6. Step 6: Final answer
    x = 13,938.41

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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.