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Finding the Fourth Proportional to 72,546.35, 100,114.38 and 40,281.42

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Solution

The fourth proportional to 72,546.35, 100,114.38 and 40,281.42 is: 55,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,546.35 : 100,114.38 = 40,281.42 : x
  2. Step 2: Convert to fraction form
    72,546.35/100,114.38 = 40,281.42/x
  3. Step 3: Cross multiply
    72,546.35x = 100,114.38 × 40,281.42
  4. Step 4: Simplify right side
    72,546.35x = 4,032,749,201.11
  5. Step 5: Solve for x
    x = 4,032,749,201.11/72,546.35
  6. Step 6: Final answer
    x = 55,588.59

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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.