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Finding the Fourth Proportional to 30,972.60, 42,740.60 and 16,825.41

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Solution

The fourth proportional to 30,972.60, 42,740.60 and 16,825.41 is: 23,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.60 : 42,740.60 = 16,825.41 : x
  2. Step 2: Convert to fraction form
    30,972.60/42,740.60 = 16,825.41/x
  3. Step 3: Cross multiply
    30,972.60x = 42,740.60 × 16,825.41
  4. Step 4: Simplify right side
    30,972.60x = 719,128,034.52
  5. Step 5: Solve for x
    x = 719,128,034.52/30,972.60
  6. Step 6: Final answer
    x = 23,218.20

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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.