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Finding the Fourth Proportional to 65,009.44, 89,713.56 and 35,201.44

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Solution

The fourth proportional to 65,009.44, 89,713.56 and 35,201.44 is: 48,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.44 : 89,713.56 = 35,201.44 : x
  2. Step 2: Convert to fraction form
    65,009.44/89,713.56 = 35,201.44/x
  3. Step 3: Cross multiply
    65,009.44x = 89,713.56 × 35,201.44
  4. Step 4: Simplify right side
    65,009.44x = 3,158,046,407.25
  5. Step 5: Solve for x
    x = 3,158,046,407.25/65,009.44
  6. Step 6: Final answer
    x = 48,578.28

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1.5x scale

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.