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Finding the Fourth Proportional to 32,323.57, 48,485.36 and 10,138.88

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Solution

The fourth proportional to 32,323.57, 48,485.36 and 10,138.88 is: 15,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323.57 : 48,485.36 = 10,138.88 : x
  2. Step 2: Convert to fraction form
    32,323.57/48,485.36 = 10,138.88/x
  3. Step 3: Cross multiply
    32,323.57x = 48,485.36 × 10,138.88
  4. Step 4: Simplify right side
    32,323.57x = 491,587,393.36
  5. Step 5: Solve for x
    x = 491,587,393.36/32,323.57
  6. Step 6: Final answer
    x = 15,208.33

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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.