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Finding the Fourth Proportional to 65,844, 98,767.08 and 19,101.60

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Solution

The fourth proportional to 65,844, 98,767.08 and 19,101.60 is: 28,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,844 : 98,767.08 = 19,101.60 : x
  2. Step 2: Convert to fraction form
    65,844/98,767.08 = 19,101.60/x
  3. Step 3: Cross multiply
    65,844x = 98,767.08 × 19,101.60
  4. Step 4: Simplify right side
    65,844x = 1,886,609,255.33
  5. Step 5: Solve for x
    x = 1,886,609,255.33/65,844
  6. Step 6: Final answer
    x = 28,652.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.