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Finding the Fourth Proportional to 30,590.41, 42,215.18 and 17,160.86

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Solution

The fourth proportional to 30,590.41, 42,215.18 and 17,160.86 is: 23,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.41 : 42,215.18 = 17,160.86 : x
  2. Step 2: Convert to fraction form
    30,590.41/42,215.18 = 17,160.86/x
  3. Step 3: Cross multiply
    30,590.41x = 42,215.18 × 17,160.86
  4. Step 4: Simplify right side
    30,590.41x = 724,448,813.59
  5. Step 5: Solve for x
    x = 724,448,813.59/30,590.41
  6. Step 6: Final answer
    x = 23,682.22

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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.