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Finding the Fourth Proportional to 31,134.48, 46,480 and 30,040.96

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Solution

The fourth proportional to 31,134.48, 46,480 and 30,040.96 is: 44,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.48 : 46,480 = 30,040.96 : x
  2. Step 2: Convert to fraction form
    31,134.48/46,480 = 30,040.96/x
  3. Step 3: Cross multiply
    31,134.48x = 46,480 × 30,040.96
  4. Step 4: Simplify right side
    31,134.48x = 1,396,303,820.80
  5. Step 5: Solve for x
    x = 1,396,303,820.80/31,134.48
  6. Step 6: Final answer
    x = 44,847.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.