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Finding the Fourth Proportional to 32,644.41, 48,958.70 and 15,097.47

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Solution

The fourth proportional to 32,644.41, 48,958.70 and 15,097.47 is: 22,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,644.41 : 48,958.70 = 15,097.47 : x
  2. Step 2: Convert to fraction form
    32,644.41/48,958.70 = 15,097.47/x
  3. Step 3: Cross multiply
    32,644.41x = 48,958.70 × 15,097.47
  4. Step 4: Simplify right side
    32,644.41x = 739,152,429.00
  5. Step 5: Solve for x
    x = 739,152,429.00/32,644.41
  6. Step 6: Final answer
    x = 22,642.54

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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.