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Finding the Fourth Proportional to 30,638.98, 42,275.23 and 17,886.38

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Solution

The fourth proportional to 30,638.98, 42,275.23 and 17,886.38 is: 24,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.98 : 42,275.23 = 17,886.38 : x
  2. Step 2: Convert to fraction form
    30,638.98/42,275.23 = 17,886.38/x
  3. Step 3: Cross multiply
    30,638.98x = 42,275.23 × 17,886.38
  4. Step 4: Simplify right side
    30,638.98x = 756,150,616.99
  5. Step 5: Solve for x
    x = 756,150,616.99/30,638.98
  6. Step 6: Final answer
    x = 24,679.37

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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.