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Finding the Fourth Proportional to 32,197.60, 48,296.40 and 15,570.40

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Solution

The fourth proportional to 32,197.60, 48,296.40 and 15,570.40 is: 23,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.60 : 48,296.40 = 15,570.40 : x
  2. Step 2: Convert to fraction form
    32,197.60/48,296.40 = 15,570.40/x
  3. Step 3: Cross multiply
    32,197.60x = 48,296.40 × 15,570.40
  4. Step 4: Simplify right side
    32,197.60x = 751,994,266.56
  5. Step 5: Solve for x
    x = 751,994,266.56/32,197.60
  6. Step 6: Final answer
    x = 23,355.60

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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.