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Finding the Fourth Proportional to 33,830.40, 50,682.36 and 28,319.16

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Solution

The fourth proportional to 33,830.40, 50,682.36 and 28,319.16 is: 42,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.40 : 50,682.36 = 28,319.16 : x
  2. Step 2: Convert to fraction form
    33,830.40/50,682.36 = 28,319.16/x
  3. Step 3: Cross multiply
    33,830.40x = 50,682.36 × 28,319.16
  4. Step 4: Simplify right side
    33,830.40x = 1,435,281,862.02
  5. Step 5: Solve for x
    x = 1,435,281,862.02/33,830.40
  6. Step 6: Final answer
    x = 42,425.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.