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Finding the Fourth Proportional to 30,535.94, 42,140.80 and 17,107.30

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Solution

The fourth proportional to 30,535.94, 42,140.80 and 17,107.30 is: 23,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.94 : 42,140.80 = 17,107.30 : x
  2. Step 2: Convert to fraction form
    30,535.94/42,140.80 = 17,107.30/x
  3. Step 3: Cross multiply
    30,535.94x = 42,140.80 × 17,107.30
  4. Step 4: Simplify right side
    30,535.94x = 720,915,159.72
  5. Step 5: Solve for x
    x = 720,915,159.72/30,535.94
  6. Step 6: Final answer
    x = 23,608.75

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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.