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Finding the Fourth Proportional to 65,009.25, 89,712.77 and 35,201.25

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Solution

The fourth proportional to 65,009.25, 89,712.77 and 35,201.25 is: 48,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.25 : 89,712.77 = 35,201.25 : x
  2. Step 2: Convert to fraction form
    65,009.25/89,712.77 = 35,201.25/x
  3. Step 3: Cross multiply
    65,009.25x = 89,712.77 × 35,201.25
  4. Step 4: Simplify right side
    65,009.25x = 3,158,001,468.96
  5. Step 5: Solve for x
    x = 3,158,001,468.96/65,009.25
  6. Step 6: Final answer
    x = 48,577.73

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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.