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Finding the Fourth Proportional to 30,967.52, 42,735.30 and 16,820.60

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Solution

The fourth proportional to 30,967.52, 42,735.30 and 16,820.60 is: 23,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.52 : 42,735.30 = 16,820.60 : x
  2. Step 2: Convert to fraction form
    30,967.52/42,735.30 = 16,820.60/x
  3. Step 3: Cross multiply
    30,967.52x = 42,735.30 × 16,820.60
  4. Step 4: Simplify right side
    30,967.52x = 718,833,387.18
  5. Step 5: Solve for x
    x = 718,833,387.18/30,967.52
  6. Step 6: Final answer
    x = 23,212.49

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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.