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Finding the Fourth Proportional to 31,106.60, 42,930.80 and 17,682.04

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Solution

The fourth proportional to 31,106.60, 42,930.80 and 17,682.04 is: 24,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.60 : 42,930.80 = 17,682.04 : x
  2. Step 2: Convert to fraction form
    31,106.60/42,930.80 = 17,682.04/x
  3. Step 3: Cross multiply
    31,106.60x = 42,930.80 × 17,682.04
  4. Step 4: Simplify right side
    31,106.60x = 759,104,122.83
  5. Step 5: Solve for x
    x = 759,104,122.83/31,106.60
  6. Step 6: Final answer
    x = 24,403.31

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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.