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Finding the Fourth Proportional to 38,477.25, 53,120.69 and 29,330.82

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Solution

The fourth proportional to 38,477.25, 53,120.69 and 29,330.82 is: 40,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.25 : 53,120.69 = 29,330.82 : x
  2. Step 2: Convert to fraction form
    38,477.25/53,120.69 = 29,330.82/x
  3. Step 3: Cross multiply
    38,477.25x = 53,120.69 × 29,330.82
  4. Step 4: Simplify right side
    38,477.25x = 1,558,073,396.67
  5. Step 5: Solve for x
    x = 1,558,073,396.67/38,477.25
  6. Step 6: Final answer
    x = 40,493.37

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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.