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Finding the Fourth Proportional to 32,821.40, 49,232.81 and 11,762.82

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Solution

The fourth proportional to 32,821.40, 49,232.81 and 11,762.82 is: 17,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821.40 : 49,232.81 = 11,762.82 : x
  2. Step 2: Convert to fraction form
    32,821.40/49,232.81 = 11,762.82/x
  3. Step 3: Cross multiply
    32,821.40x = 49,232.81 × 11,762.82
  4. Step 4: Simplify right side
    32,821.40x = 579,116,711.53
  5. Step 5: Solve for x
    x = 579,116,711.53/32,821.40
  6. Step 6: Final answer
    x = 17,644.48

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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.