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Finding the Fourth Proportional to 38,405.36, 53,002.48 and 21,415.14

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Solution

The fourth proportional to 38,405.36, 53,002.48 and 21,415.14 is: 29,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405.36 : 53,002.48 = 21,415.14 : x
  2. Step 2: Convert to fraction form
    38,405.36/53,002.48 = 21,415.14/x
  3. Step 3: Cross multiply
    38,405.36x = 53,002.48 × 21,415.14
  4. Step 4: Simplify right side
    38,405.36x = 1,135,055,529.55
  5. Step 5: Solve for x
    x = 1,135,055,529.55/38,405.36
  6. Step 6: Final answer
    x = 29,554.61

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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.