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Finding the Fourth Proportional to 65,282.80, 97,832.76 and 27,792.22

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Solution

The fourth proportional to 65,282.80, 97,832.76 and 27,792.22 is: 41,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,282.80 : 97,832.76 = 27,792.22 : x
  2. Step 2: Convert to fraction form
    65,282.80/97,832.76 = 27,792.22/x
  3. Step 3: Cross multiply
    65,282.80x = 97,832.76 × 27,792.22
  4. Step 4: Simplify right side
    65,282.80x = 2,718,989,589.13
  5. Step 5: Solve for x
    x = 2,718,989,589.13/65,282.80
  6. Step 6: Final answer
    x = 41,649.40

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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.