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Finding the Fourth Proportional to 32,951.71, 49,304.09 and 19,575.93

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Solution

The fourth proportional to 32,951.71, 49,304.09 and 19,575.93 is: 29,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.71 : 49,304.09 = 19,575.93 : x
  2. Step 2: Convert to fraction form
    32,951.71/49,304.09 = 19,575.93/x
  3. Step 3: Cross multiply
    32,951.71x = 49,304.09 × 19,575.93
  4. Step 4: Simplify right side
    32,951.71x = 965,173,371.05
  5. Step 5: Solve for x
    x = 965,173,371.05/32,951.71
  6. Step 6: Final answer
    x = 29,290.54

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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.