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Finding the Fourth Proportional to 72,583.28, 100,165.32 and 40,751.60

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Solution

The fourth proportional to 72,583.28, 100,165.32 and 40,751.60 is: 56,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,583.28 : 100,165.32 = 40,751.60 : x
  2. Step 2: Convert to fraction form
    72,583.28/100,165.32 = 40,751.60/x
  3. Step 3: Cross multiply
    72,583.28x = 100,165.32 × 40,751.60
  4. Step 4: Simplify right side
    72,583.28x = 4,081,897,054.51
  5. Step 5: Solve for x
    x = 4,081,897,054.51/72,583.28
  6. Step 6: Final answer
    x = 56,237.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.