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Finding the Fourth Proportional to 34,791.63, 52,190.87 and 9,831.87

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Solution

The fourth proportional to 34,791.63, 52,190.87 and 9,831.87 is: 14,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,791.63 : 52,190.87 = 9,831.87 : x
  2. Step 2: Convert to fraction form
    34,791.63/52,190.87 = 9,831.87/x
  3. Step 3: Cross multiply
    34,791.63x = 52,190.87 × 9,831.87
  4. Step 4: Simplify right side
    34,791.63x = 513,133,930.34
  5. Step 5: Solve for x
    x = 513,133,930.34/34,791.63
  6. Step 6: Final answer
    x = 14,748.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.