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Finding the Fourth Proportional to 32,014.40, 48,021.60 and 11,235.20

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Solution

The fourth proportional to 32,014.40, 48,021.60 and 11,235.20 is: 16,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.40 : 48,021.60 = 11,235.20 : x
  2. Step 2: Convert to fraction form
    32,014.40/48,021.60 = 11,235.20/x
  3. Step 3: Cross multiply
    32,014.40x = 48,021.60 × 11,235.20
  4. Step 4: Simplify right side
    32,014.40x = 539,532,280.32
  5. Step 5: Solve for x
    x = 539,532,280.32/32,014.40
  6. Step 6: Final answer
    x = 16,852.80

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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.