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Finding the Fourth Proportional to 70,563.82, 105,856 and 23,830.06

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Solution

The fourth proportional to 70,563.82, 105,856 and 23,830.06 is: 35,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,563.82 : 105,856 = 23,830.06 : x
  2. Step 2: Convert to fraction form
    70,563.82/105,856 = 23,830.06/x
  3. Step 3: Cross multiply
    70,563.82x = 105,856 × 23,830.06
  4. Step 4: Simplify right side
    70,563.82x = 2,522,554,831.36
  5. Step 5: Solve for x
    x = 2,522,554,831.36/70,563.82
  6. Step 6: Final answer
    x = 35,748.56

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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.