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Finding the Fourth Proportional to 32,002.54, 48,010.80 and 9,817.60

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Solution

The fourth proportional to 32,002.54, 48,010.80 and 9,817.60 is: 14,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.54 : 48,010.80 = 9,817.60 : x
  2. Step 2: Convert to fraction form
    32,002.54/48,010.80 = 9,817.60/x
  3. Step 3: Cross multiply
    32,002.54x = 48,010.80 × 9,817.60
  4. Step 4: Simplify right side
    32,002.54x = 471,350,830.08
  5. Step 5: Solve for x
    x = 471,350,830.08/32,002.54
  6. Step 6: Final answer
    x = 14,728.54

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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.