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Finding the Fourth Proportional to 34,708, 47,905.68 and 19,812.64

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Solution

The fourth proportional to 34,708, 47,905.68 and 19,812.64 is: 27,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708 : 47,905.68 = 19,812.64 : x
  2. Step 2: Convert to fraction form
    34,708/47,905.68 = 19,812.64/x
  3. Step 3: Cross multiply
    34,708x = 47,905.68 × 19,812.64
  4. Step 4: Simplify right side
    34,708x = 949,137,991.80
  5. Step 5: Solve for x
    x = 949,137,991.80/34,708
  6. Step 6: Final answer
    x = 27,346.38

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Why These Related Problems?

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