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Finding the Fourth Proportional to 30,609.65, 42,235.98 and 17,181.47

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Solution

The fourth proportional to 30,609.65, 42,235.98 and 17,181.47 is: 23,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.65 : 42,235.98 = 17,181.47 : x
  2. Step 2: Convert to fraction form
    30,609.65/42,235.98 = 17,181.47/x
  3. Step 3: Cross multiply
    30,609.65x = 42,235.98 × 17,181.47
  4. Step 4: Simplify right side
    30,609.65x = 725,676,123.52
  5. Step 5: Solve for x
    x = 725,676,123.52/30,609.65
  6. Step 6: Final answer
    x = 23,707.43

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