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Finding the Fourth Proportional to 65,732, 98,577.12 and 21,348.48

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Solution

The fourth proportional to 65,732, 98,577.12 and 21,348.48 is: 32,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,732 : 98,577.12 = 21,348.48 : x
  2. Step 2: Convert to fraction form
    65,732/98,577.12 = 21,348.48/x
  3. Step 3: Cross multiply
    65,732x = 98,577.12 × 21,348.48
  4. Step 4: Simplify right side
    65,732x = 2,104,471,674.78
  5. Step 5: Solve for x
    x = 2,104,471,674.78/65,732
  6. Step 6: Final answer
    x = 32,015.94

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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.