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Finding the Fourth Proportional to 72,906.86, 100,610.16 and 41,075.08

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Solution

The fourth proportional to 72,906.86, 100,610.16 and 41,075.08 is: 56,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906.86 : 100,610.16 = 41,075.08 : x
  2. Step 2: Convert to fraction form
    72,906.86/100,610.16 = 41,075.08/x
  3. Step 3: Cross multiply
    72,906.86x = 100,610.16 × 41,075.08
  4. Step 4: Simplify right side
    72,906.86x = 4,132,569,867.76
  5. Step 5: Solve for x
    x = 4,132,569,867.76/72,906.86
  6. Step 6: Final answer
    x = 56,682.87

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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.