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Finding the Fourth Proportional to 65,735, 90,714.30 and 35,927

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Solution

The fourth proportional to 65,735, 90,714.30 and 35,927 is: 49,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735 : 90,714.30 = 35,927 : x
  2. Step 2: Convert to fraction form
    65,735/90,714.30 = 35,927/x
  3. Step 3: Cross multiply
    65,735x = 90,714.30 × 35,927
  4. Step 4: Simplify right side
    65,735x = 3,259,092,656.10
  5. Step 5: Solve for x
    x = 3,259,092,656.10/65,735
  6. Step 6: Final answer
    x = 49,579.26

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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.