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Finding the Fourth Proportional to 71,594.24, 98,788.16 and 41,382.34

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Solution

The fourth proportional to 71,594.24, 98,788.16 and 41,382.34 is: 57,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594.24 : 98,788.16 = 41,382.34 : x
  2. Step 2: Convert to fraction form
    71,594.24/98,788.16 = 41,382.34/x
  3. Step 3: Cross multiply
    71,594.24x = 98,788.16 × 41,382.34
  4. Step 4: Simplify right side
    71,594.24x = 4,088,085,225.09
  5. Step 5: Solve for x
    x = 4,088,085,225.09/71,594.24
  6. Step 6: Final answer
    x = 57,100.76

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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.