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Finding the Fourth Proportional to 32,243.50, 48,365.56 and 9,754.36

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Solution

The fourth proportional to 32,243.50, 48,365.56 and 9,754.36 is: 14,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,243.50 : 48,365.56 = 9,754.36 : x
  2. Step 2: Convert to fraction form
    32,243.50/48,365.56 = 9,754.36/x
  3. Step 3: Cross multiply
    32,243.50x = 48,365.56 × 9,754.36
  4. Step 4: Simplify right side
    32,243.50x = 471,775,083.84
  5. Step 5: Solve for x
    x = 471,775,083.84/32,243.50
  6. Step 6: Final answer
    x = 14,631.63

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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.