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Finding the Fourth Proportional to 32,701, 49,051.97 and 9,327.45

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Solution

The fourth proportional to 32,701, 49,051.97 and 9,327.45 is: 13,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701 : 49,051.97 = 9,327.45 : x
  2. Step 2: Convert to fraction form
    32,701/49,051.97 = 9,327.45/x
  3. Step 3: Cross multiply
    32,701x = 49,051.97 × 9,327.45
  4. Step 4: Simplify right side
    32,701x = 457,529,797.58
  5. Step 5: Solve for x
    x = 457,529,797.58/32,701
  6. Step 6: Final answer
    x = 13,991.31

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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.