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Finding the Fourth Proportional to 48,201.54, 72,302.04 and 32,157.12

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Solution

The fourth proportional to 48,201.54, 72,302.04 and 32,157.12 is: 48,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201.54 : 72,302.04 = 32,157.12 : x
  2. Step 2: Convert to fraction form
    48,201.54/72,302.04 = 32,157.12/x
  3. Step 3: Cross multiply
    48,201.54x = 72,302.04 × 32,157.12
  4. Step 4: Simplify right side
    48,201.54x = 2,325,025,376.52
  5. Step 5: Solve for x
    x = 2,325,025,376.52/48,201.54
  6. Step 6: Final answer
    x = 48,235.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.