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Finding the Fourth Proportional to 55,213.89, 82,834.04 and 17,777.46

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Solution

The fourth proportional to 55,213.89, 82,834.04 and 17,777.46 is: 26,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,213.89 : 82,834.04 = 17,777.46 : x
  2. Step 2: Convert to fraction form
    55,213.89/82,834.04 = 17,777.46/x
  3. Step 3: Cross multiply
    55,213.89x = 82,834.04 × 17,777.46
  4. Step 4: Simplify right side
    55,213.89x = 1,472,578,832.74
  5. Step 5: Solve for x
    x = 1,472,578,832.74/55,213.89
  6. Step 6: Final answer
    x = 26,670.44

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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.