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Finding the Fourth Proportional to 55,108.46, 82,670.48 and 17,659.78

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Solution

The fourth proportional to 55,108.46, 82,670.48 and 17,659.78 is: 26,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,108.46 : 82,670.48 = 17,659.78 : x
  2. Step 2: Convert to fraction form
    55,108.46/82,670.48 = 17,659.78/x
  3. Step 3: Cross multiply
    55,108.46x = 82,670.48 × 17,659.78
  4. Step 4: Simplify right side
    55,108.46x = 1,459,942,489.29
  5. Step 5: Solve for x
    x = 1,459,942,489.29/55,108.46
  6. Step 6: Final answer
    x = 26,492.17

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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.