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Finding the Fourth Proportional to 38,418.85, 53,022.09 and 22,516.66

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Solution

The fourth proportional to 38,418.85, 53,022.09 and 22,516.66 is: 31,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,418.85 : 53,022.09 = 22,516.66 : x
  2. Step 2: Convert to fraction form
    38,418.85/53,022.09 = 22,516.66/x
  3. Step 3: Cross multiply
    38,418.85x = 53,022.09 × 22,516.66
  4. Step 4: Simplify right side
    38,418.85x = 1,193,880,373.02
  5. Step 5: Solve for x
    x = 1,193,880,373.02/38,418.85
  6. Step 6: Final answer
    x = 31,075.38

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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.