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Finding the Fourth Proportional to 30,781.82, 42,462.27 and 20,590.46

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Solution

The fourth proportional to 30,781.82, 42,462.27 and 20,590.46 is: 28,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.82 : 42,462.27 = 20,590.46 : x
  2. Step 2: Convert to fraction form
    30,781.82/42,462.27 = 20,590.46/x
  3. Step 3: Cross multiply
    30,781.82x = 42,462.27 × 20,590.46
  4. Step 4: Simplify right side
    30,781.82x = 874,317,671.94
  5. Step 5: Solve for x
    x = 874,317,671.94/30,781.82
  6. Step 6: Final answer
    x = 28,403.70

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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.