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Finding the Fourth Proportional to 38,033.84, 52,477.80 and 22,922.48

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Solution

The fourth proportional to 38,033.84, 52,477.80 and 22,922.48 is: 31,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,033.84 : 52,477.80 = 22,922.48 : x
  2. Step 2: Convert to fraction form
    38,033.84/52,477.80 = 22,922.48/x
  3. Step 3: Cross multiply
    38,033.84x = 52,477.80 × 22,922.48
  4. Step 4: Simplify right side
    38,033.84x = 1,202,921,320.94
  5. Step 5: Solve for x
    x = 1,202,921,320.94/38,033.84
  6. Step 6: Final answer
    x = 31,627.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.