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Finding the Fourth Proportional to 75,779.06, 104,581.06 and 41,790.65

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Solution

The fourth proportional to 75,779.06, 104,581.06 and 41,790.65 is: 57,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,779.06 : 104,581.06 = 41,790.65 : x
  2. Step 2: Convert to fraction form
    75,779.06/104,581.06 = 41,790.65/x
  3. Step 3: Cross multiply
    75,779.06x = 104,581.06 × 41,790.65
  4. Step 4: Simplify right side
    75,779.06x = 4,370,509,847.71
  5. Step 5: Solve for x
    x = 4,370,509,847.71/75,779.06
  6. Step 6: Final answer
    x = 57,674.38

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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.