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Finding the Fourth Proportional to 30,663.27, 42,315.69 and 17,233.74

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Solution

The fourth proportional to 30,663.27, 42,315.69 and 17,233.74 is: 23,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663.27 : 42,315.69 = 17,233.74 : x
  2. Step 2: Convert to fraction form
    30,663.27/42,315.69 = 17,233.74/x
  3. Step 3: Cross multiply
    30,663.27x = 42,315.69 × 17,233.74
  4. Step 4: Simplify right side
    30,663.27x = 729,257,599.38
  5. Step 5: Solve for x
    x = 729,257,599.38/30,663.27
  6. Step 6: Final answer
    x = 23,782.77

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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.