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Finding the Fourth Proportional to 32,533.20, 48,865.32 and 31,614.48

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Solution

The fourth proportional to 32,533.20, 48,865.32 and 31,614.48 is: 47,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.20 : 48,865.32 = 31,614.48 : x
  2. Step 2: Convert to fraction form
    32,533.20/48,865.32 = 31,614.48/x
  3. Step 3: Cross multiply
    32,533.20x = 48,865.32 × 31,614.48
  4. Step 4: Simplify right side
    32,533.20x = 1,544,851,681.83
  5. Step 5: Solve for x
    x = 1,544,851,681.83/32,533.20
  6. Step 6: Final answer
    x = 47,485.39

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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.