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Finding the Fourth Proportional to 65,733, 98,578.62 and 21,349.48

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Solution

The fourth proportional to 65,733, 98,578.62 and 21,349.48 is: 32,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733 : 98,578.62 = 21,349.48 : x
  2. Step 2: Convert to fraction form
    65,733/98,578.62 = 21,349.48/x
  3. Step 3: Cross multiply
    65,733x = 98,578.62 × 21,349.48
  4. Step 4: Simplify right side
    65,733x = 2,104,602,276.12
  5. Step 5: Solve for x
    x = 2,104,602,276.12/65,733
  6. Step 6: Final answer
    x = 32,017.44

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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.