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Finding the Fourth Proportional to 30,935.25, 42,701.18 and 20,857.23

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Solution

The fourth proportional to 30,935.25, 42,701.18 and 20,857.23 is: 28,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.25 : 42,701.18 = 20,857.23 : x
  2. Step 2: Convert to fraction form
    30,935.25/42,701.18 = 20,857.23/x
  3. Step 3: Cross multiply
    30,935.25x = 42,701.18 × 20,857.23
  4. Step 4: Simplify right side
    30,935.25x = 890,628,228.25
  5. Step 5: Solve for x
    x = 890,628,228.25/30,935.25
  6. Step 6: Final answer
    x = 28,790.08

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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.