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Finding the Fourth Proportional to 30,662.35, 42,302.05 and 17,230.52

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Solution

The fourth proportional to 30,662.35, 42,302.05 and 17,230.52 is: 23,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.35 : 42,302.05 = 17,230.52 : x
  2. Step 2: Convert to fraction form
    30,662.35/42,302.05 = 17,230.52/x
  3. Step 3: Cross multiply
    30,662.35x = 42,302.05 × 17,230.52
  4. Step 4: Simplify right side
    30,662.35x = 728,886,381.24
  5. Step 5: Solve for x
    x = 728,886,381.24/30,662.35
  6. Step 6: Final answer
    x = 23,771.38

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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.