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Finding the Fourth Proportional to 30,580.43, 42,197.81 and 17,830.22

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Solution

The fourth proportional to 30,580.43, 42,197.81 and 17,830.22 is: 24,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.43 : 42,197.81 = 17,830.22 : x
  2. Step 2: Convert to fraction form
    30,580.43/42,197.81 = 17,830.22/x
  3. Step 3: Cross multiply
    30,580.43x = 42,197.81 × 17,830.22
  4. Step 4: Simplify right side
    30,580.43x = 752,395,935.68
  5. Step 5: Solve for x
    x = 752,395,935.68/30,580.43
  6. Step 6: Final answer
    x = 24,603.84

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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.