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Finding the Fourth Proportional to 31,086.45, 46,630.76 and 10,026.45

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Solution

The fourth proportional to 31,086.45, 46,630.76 and 10,026.45 is: 15,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.45 : 46,630.76 = 10,026.45 : x
  2. Step 2: Convert to fraction form
    31,086.45/46,630.76 = 10,026.45/x
  3. Step 3: Cross multiply
    31,086.45x = 46,630.76 × 10,026.45
  4. Step 4: Simplify right side
    31,086.45x = 467,540,933.47
  5. Step 5: Solve for x
    x = 467,540,933.47/31,086.45
  6. Step 6: Final answer
    x = 15,040.02

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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.