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Finding the Fourth Proportional to 72,578.94, 100,152.09 and 40,741.62

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Solution

The fourth proportional to 72,578.94, 100,152.09 and 40,741.62 is: 56,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578.94 : 100,152.09 = 40,741.62 : x
  2. Step 2: Convert to fraction form
    72,578.94/100,152.09 = 40,741.62/x
  3. Step 3: Cross multiply
    72,578.94x = 100,152.09 × 40,741.62
  4. Step 4: Simplify right side
    72,578.94x = 4,080,358,392.99
  5. Step 5: Solve for x
    x = 4,080,358,392.99/72,578.94
  6. Step 6: Final answer
    x = 56,219.59

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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.