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Finding the Fourth Proportional to 32,295.42, 48,449.78 and 13,564.44

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Solution

The fourth proportional to 32,295.42, 48,449.78 and 13,564.44 is: 20,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.42 : 48,449.78 = 13,564.44 : x
  2. Step 2: Convert to fraction form
    32,295.42/48,449.78 = 13,564.44/x
  3. Step 3: Cross multiply
    32,295.42x = 48,449.78 × 13,564.44
  4. Step 4: Simplify right side
    32,295.42x = 657,194,066.00
  5. Step 5: Solve for x
    x = 657,194,066.00/32,295.42
  6. Step 6: Final answer
    x = 20,349.45

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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.