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Finding the Fourth Proportional to 30,685.91, 42,346.15 and 17,257.16

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Solution

The fourth proportional to 30,685.91, 42,346.15 and 17,257.16 is: 23,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.91 : 42,346.15 = 17,257.16 : x
  2. Step 2: Convert to fraction form
    30,685.91/42,346.15 = 17,257.16/x
  3. Step 3: Cross multiply
    30,685.91x = 42,346.15 × 17,257.16
  4. Step 4: Simplify right side
    30,685.91x = 730,774,285.93
  5. Step 5: Solve for x
    x = 730,774,285.93/30,685.91
  6. Step 6: Final answer
    x = 23,814.65

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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.