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Finding the Fourth Proportional to 34,831.40, 52,247.10 and 8,536.40

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Solution

The fourth proportional to 34,831.40, 52,247.10 and 8,536.40 is: 12,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,831.40 : 52,247.10 = 8,536.40 : x
  2. Step 2: Convert to fraction form
    34,831.40/52,247.10 = 8,536.40/x
  3. Step 3: Cross multiply
    34,831.40x = 52,247.10 × 8,536.40
  4. Step 4: Simplify right side
    34,831.40x = 446,002,144.44
  5. Step 5: Solve for x
    x = 446,002,144.44/34,831.40
  6. Step 6: Final answer
    x = 12,804.60

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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.