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Finding the Fourth Proportional to 34,671.49, 47,831.22 and 20,516.14

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Solution

The fourth proportional to 34,671.49, 47,831.22 and 20,516.14 is: 28,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,671.49 : 47,831.22 = 20,516.14 : x
  2. Step 2: Convert to fraction form
    34,671.49/47,831.22 = 20,516.14/x
  3. Step 3: Cross multiply
    34,671.49x = 47,831.22 × 20,516.14
  4. Step 4: Simplify right side
    34,671.49x = 981,312,005.89
  5. Step 5: Solve for x
    x = 981,312,005.89/34,671.49
  6. Step 6: Final answer
    x = 28,303.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.