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Finding the Fourth Proportional to 39,305, 54,261.82 and 31,564.10

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Solution

The fourth proportional to 39,305, 54,261.82 and 31,564.10 is: 43,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,305 : 54,261.82 = 31,564.10 : x
  2. Step 2: Convert to fraction form
    39,305/54,261.82 = 31,564.10/x
  3. Step 3: Cross multiply
    39,305x = 54,261.82 × 31,564.10
  4. Step 4: Simplify right side
    39,305x = 1,712,725,512.66
  5. Step 5: Solve for x
    x = 1,712,725,512.66/39,305
  6. Step 6: Final answer
    x = 43,575.26

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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.