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Finding the Fourth Proportional to 75,368.09, 104,009.19 and 41,379.71

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Solution

The fourth proportional to 75,368.09, 104,009.19 and 41,379.71 is: 57,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,368.09 : 104,009.19 = 41,379.71 : x
  2. Step 2: Convert to fraction form
    75,368.09/104,009.19 = 41,379.71/x
  3. Step 3: Cross multiply
    75,368.09x = 104,009.19 × 41,379.71
  4. Step 4: Simplify right side
    75,368.09x = 4,303,870,224.38
  5. Step 5: Solve for x
    x = 4,303,870,224.38/75,368.09
  6. Step 6: Final answer
    x = 57,104.67

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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.