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Finding the Fourth Proportional to 31,440.96, 47,121.18 and 15,434.16

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Solution

The fourth proportional to 31,440.96, 47,121.18 and 15,434.16 is: 23,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,440.96 : 47,121.18 = 15,434.16 : x
  2. Step 2: Convert to fraction form
    31,440.96/47,121.18 = 15,434.16/x
  3. Step 3: Cross multiply
    31,440.96x = 47,121.18 × 15,434.16
  4. Step 4: Simplify right side
    31,440.96x = 727,275,831.51
  5. Step 5: Solve for x
    x = 727,275,831.51/31,440.96
  6. Step 6: Final answer
    x = 23,131.48

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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.