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Finding the Fourth Proportional to 30,962.60, 46,458.30 and 16,188.20

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Solution

The fourth proportional to 30,962.60, 46,458.30 and 16,188.20 is: 24,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.60 : 46,458.30 = 16,188.20 : x
  2. Step 2: Convert to fraction form
    30,962.60/46,458.30 = 16,188.20/x
  3. Step 3: Cross multiply
    30,962.60x = 46,458.30 × 16,188.20
  4. Step 4: Simplify right side
    30,962.60x = 752,076,252.06
  5. Step 5: Solve for x
    x = 752,076,252.06/30,962.60
  6. Step 6: Final answer
    x = 24,289.83

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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.