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Finding the Fourth Proportional to 72,477.89, 108,727.08 and 22,563.02

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Solution

The fourth proportional to 72,477.89, 108,727.08 and 22,563.02 is: 33,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,477.89 : 108,727.08 = 22,563.02 : x
  2. Step 2: Convert to fraction form
    72,477.89/108,727.08 = 22,563.02/x
  3. Step 3: Cross multiply
    72,477.89x = 108,727.08 × 22,563.02
  4. Step 4: Simplify right side
    72,477.89x = 2,453,211,060.06
  5. Step 5: Solve for x
    x = 2,453,211,060.06/72,477.89
  6. Step 6: Final answer
    x = 33,847.72

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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.