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Finding the Fourth Proportional to 38,503.36, 53,135.08 and 22,588.08

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Solution

The fourth proportional to 38,503.36, 53,135.08 and 22,588.08 is: 31,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.36 : 53,135.08 = 22,588.08 : x
  2. Step 2: Convert to fraction form
    38,503.36/53,135.08 = 22,588.08/x
  3. Step 3: Cross multiply
    38,503.36x = 53,135.08 × 22,588.08
  4. Step 4: Simplify right side
    38,503.36x = 1,200,219,437.85
  5. Step 5: Solve for x
    x = 1,200,219,437.85/38,503.36
  6. Step 6: Final answer
    x = 31,171.81

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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.