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Finding the Fourth Proportional to 31,364.58, 47,048.31 and 9,179.88

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Solution

The fourth proportional to 31,364.58, 47,048.31 and 9,179.88 is: 13,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.58 : 47,048.31 = 9,179.88 : x
  2. Step 2: Convert to fraction form
    31,364.58/47,048.31 = 9,179.88/x
  3. Step 3: Cross multiply
    31,364.58x = 47,048.31 × 9,179.88
  4. Step 4: Simplify right side
    31,364.58x = 431,897,840.00
  5. Step 5: Solve for x
    x = 431,897,840.00/31,364.58
  6. Step 6: Final answer
    x = 13,770.24

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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.