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Finding the Fourth Proportional to 38,708.82, 53,418.98 and 21,941.82

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Solution

The fourth proportional to 38,708.82, 53,418.98 and 21,941.82 is: 30,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,708.82 : 53,418.98 = 21,941.82 : x
  2. Step 2: Convert to fraction form
    38,708.82/53,418.98 = 21,941.82/x
  3. Step 3: Cross multiply
    38,708.82x = 53,418.98 × 21,941.82
  4. Step 4: Simplify right side
    38,708.82x = 1,172,109,534.03
  5. Step 5: Solve for x
    x = 1,172,109,534.03/38,708.82
  6. Step 6: Final answer
    x = 30,280.17

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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.