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Finding the Fourth Proportional to 47,304, 70,954.02 and 11,765.34

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Solution

The fourth proportional to 47,304, 70,954.02 and 11,765.34 is: 17,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,304 : 70,954.02 = 11,765.34 : x
  2. Step 2: Convert to fraction form
    47,304/70,954.02 = 11,765.34/x
  3. Step 3: Cross multiply
    47,304x = 70,954.02 × 11,765.34
  4. Step 4: Simplify right side
    47,304x = 834,798,169.67
  5. Step 5: Solve for x
    x = 834,798,169.67/47,304
  6. Step 6: Final answer
    x = 17,647.52

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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.