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Finding the Fourth Proportional to 65,857.84, 98,782.12 and 21,483.56

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Solution

The fourth proportional to 65,857.84, 98,782.12 and 21,483.56 is: 32,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,857.84 : 98,782.12 = 21,483.56 : x
  2. Step 2: Convert to fraction form
    65,857.84/98,782.12 = 21,483.56/x
  3. Step 3: Cross multiply
    65,857.84x = 98,782.12 × 21,483.56
  4. Step 4: Simplify right side
    65,857.84x = 2,122,191,601.95
  5. Step 5: Solve for x
    x = 2,122,191,601.95/65,857.84
  6. Step 6: Final answer
    x = 32,223.83

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1.5x scale

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.