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Finding the Fourth Proportional to 65,605.40, 98,432.40 and 21,233.60

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Solution

The fourth proportional to 65,605.40, 98,432.40 and 21,233.60 is: 31,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,605.40 : 98,432.40 = 21,233.60 : x
  2. Step 2: Convert to fraction form
    65,605.40/98,432.40 = 21,233.60/x
  3. Step 3: Cross multiply
    65,605.40x = 98,432.40 × 21,233.60
  4. Step 4: Simplify right side
    65,605.40x = 2,090,074,208.64
  5. Step 5: Solve for x
    x = 2,090,074,208.64/65,605.40
  6. Step 6: Final answer
    x = 31,858.26

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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.