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Finding the Fourth Proportional to 38,893.61, 53,674.27 and 23,786

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Solution

The fourth proportional to 38,893.61, 53,674.27 and 23,786 is: 32,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,893.61 : 53,674.27 = 23,786 : x
  2. Step 2: Convert to fraction form
    38,893.61/53,674.27 = 23,786/x
  3. Step 3: Cross multiply
    38,893.61x = 53,674.27 × 23,786
  4. Step 4: Simplify right side
    38,893.61x = 1,276,696,067.29
  5. Step 5: Solve for x
    x = 1,276,696,067.29/38,893.61
  6. Step 6: Final answer
    x = 32,825.34

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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.