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Finding the Fourth Proportional to 30,671.80, 42,319.05 and 17,917.54

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Solution

The fourth proportional to 30,671.80, 42,319.05 and 17,917.54 is: 24,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.80 : 42,319.05 = 17,917.54 : x
  2. Step 2: Convert to fraction form
    30,671.80/42,319.05 = 17,917.54/x
  3. Step 3: Cross multiply
    30,671.80x = 42,319.05 × 17,917.54
  4. Step 4: Simplify right side
    30,671.80x = 758,253,271.14
  5. Step 5: Solve for x
    x = 758,253,271.14/30,671.80
  6. Step 6: Final answer
    x = 24,721.51

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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.