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Finding the Fourth Proportional to 72,578.91, 100,156.32 and 40,749.15

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Solution

The fourth proportional to 72,578.91, 100,156.32 and 40,749.15 is: 56,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578.91 : 100,156.32 = 40,749.15 : x
  2. Step 2: Convert to fraction form
    72,578.91/100,156.32 = 40,749.15/x
  3. Step 3: Cross multiply
    72,578.91x = 100,156.32 × 40,749.15
  4. Step 4: Simplify right side
    72,578.91x = 4,081,284,833.94
  5. Step 5: Solve for x
    x = 4,081,284,833.94/72,578.91
  6. Step 6: Final answer
    x = 56,232.38

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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.