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Finding the Fourth Proportional to 32,974.26, 49,463.10 and 9,602.52

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Solution

The fourth proportional to 32,974.26, 49,463.10 and 9,602.52 is: 14,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974.26 : 49,463.10 = 9,602.52 : x
  2. Step 2: Convert to fraction form
    32,974.26/49,463.10 = 9,602.52/x
  3. Step 3: Cross multiply
    32,974.26x = 49,463.10 × 9,602.52
  4. Step 4: Simplify right side
    32,974.26x = 474,970,407.01
  5. Step 5: Solve for x
    x = 474,970,407.01/32,974.26
  6. Step 6: Final answer
    x = 14,404.28

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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.