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Finding the Fourth Proportional to 30,451.48, 42,021.54 and 17,022.62

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Solution

The fourth proportional to 30,451.48, 42,021.54 and 17,022.62 is: 23,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,451.48 : 42,021.54 = 17,022.62 : x
  2. Step 2: Convert to fraction form
    30,451.48/42,021.54 = 17,022.62/x
  3. Step 3: Cross multiply
    30,451.48x = 42,021.54 × 17,022.62
  4. Step 4: Simplify right side
    30,451.48x = 715,316,812.29
  5. Step 5: Solve for x
    x = 715,316,812.29/30,451.48
  6. Step 6: Final answer
    x = 23,490.38

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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.