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Finding the Fourth Proportional to 64,014.80, 96,022.20 and 32,830.16

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Solution

The fourth proportional to 64,014.80, 96,022.20 and 32,830.16 is: 49,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,014.80 : 96,022.20 = 32,830.16 : x
  2. Step 2: Convert to fraction form
    64,014.80/96,022.20 = 32,830.16/x
  3. Step 3: Cross multiply
    64,014.80x = 96,022.20 × 32,830.16
  4. Step 4: Simplify right side
    64,014.80x = 3,152,424,189.55
  5. Step 5: Solve for x
    x = 3,152,424,189.55/64,014.80
  6. Step 6: Final answer
    x = 49,245.24

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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.