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Finding the Fourth Proportional to 30,558, 42,170.10 and 17,310

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Solution

The fourth proportional to 30,558, 42,170.10 and 17,310 is: 23,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,558 : 42,170.10 = 17,310 : x
  2. Step 2: Convert to fraction form
    30,558/42,170.10 = 17,310/x
  3. Step 3: Cross multiply
    30,558x = 42,170.10 × 17,310
  4. Step 4: Simplify right side
    30,558x = 729,964,431
  5. Step 5: Solve for x
    x = 729,964,431/30,558
  6. Step 6: Final answer
    x = 23,887.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.