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Finding the Fourth Proportional to 65,194.18, 97,796.49 and 20,827.24

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Solution

The fourth proportional to 65,194.18, 97,796.49 and 20,827.24 is: 31,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.18 : 97,796.49 = 20,827.24 : x
  2. Step 2: Convert to fraction form
    65,194.18/97,796.49 = 20,827.24/x
  3. Step 3: Cross multiply
    65,194.18x = 97,796.49 × 20,827.24
  4. Step 4: Simplify right side
    65,194.18x = 2,036,830,968.39
  5. Step 5: Solve for x
    x = 2,036,830,968.39/65,194.18
  6. Step 6: Final answer
    x = 31,242.53

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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.