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Finding the Fourth Proportional to 71,293.71, 98,409.92 and 41,091.08

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Solution

The fourth proportional to 71,293.71, 98,409.92 and 41,091.08 is: 56,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,293.71 : 98,409.92 = 41,091.08 : x
  2. Step 2: Convert to fraction form
    71,293.71/98,409.92 = 41,091.08/x
  3. Step 3: Cross multiply
    71,293.71x = 98,409.92 × 41,091.08
  4. Step 4: Simplify right side
    71,293.71x = 4,043,769,895.51
  5. Step 5: Solve for x
    x = 4,043,769,895.51/71,293.71
  6. Step 6: Final answer
    x = 56,719.87

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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.