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Finding the Fourth Proportional to 38,469.77, 53,097.12 and 22,559.34

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Solution

The fourth proportional to 38,469.77, 53,097.12 and 22,559.34 is: 31,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.77 : 53,097.12 = 22,559.34 : x
  2. Step 2: Convert to fraction form
    38,469.77/53,097.12 = 22,559.34/x
  3. Step 3: Cross multiply
    38,469.77x = 53,097.12 × 22,559.34
  4. Step 4: Simplify right side
    38,469.77x = 1,197,835,983.10
  5. Step 5: Solve for x
    x = 1,197,835,983.10/38,469.77
  6. Step 6: Final answer
    x = 31,137.08

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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.