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Finding the Fourth Proportional to 70,831.77, 106,244.26 and 17,523.54

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Solution

The fourth proportional to 70,831.77, 106,244.26 and 17,523.54 is: 26,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,831.77 : 106,244.26 = 17,523.54 : x
  2. Step 2: Convert to fraction form
    70,831.77/106,244.26 = 17,523.54/x
  3. Step 3: Cross multiply
    70,831.77x = 106,244.26 × 17,523.54
  4. Step 4: Simplify right side
    70,831.77x = 1,861,775,496.07
  5. Step 5: Solve for x
    x = 1,861,775,496.07/70,831.77
  6. Step 6: Final answer
    x = 26,284.47

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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.