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Finding the Fourth Proportional to 31,518.75, 47,283.75 and 10,460.07

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Solution

The fourth proportional to 31,518.75, 47,283.75 and 10,460.07 is: 15,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518.75 : 47,283.75 = 10,460.07 : x
  2. Step 2: Convert to fraction form
    31,518.75/47,283.75 = 10,460.07/x
  3. Step 3: Cross multiply
    31,518.75x = 47,283.75 × 10,460.07
  4. Step 4: Simplify right side
    31,518.75x = 494,591,334.86
  5. Step 5: Solve for x
    x = 494,591,334.86/31,518.75
  6. Step 6: Final answer
    x = 15,691.97

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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.