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Finding the Fourth Proportional to 75,704.79, 104,477.34 and 41,713.26

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Solution

The fourth proportional to 75,704.79, 104,477.34 and 41,713.26 is: 57,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,704.79 : 104,477.34 = 41,713.26 : x
  2. Step 2: Convert to fraction form
    75,704.79/104,477.34 = 41,713.26/x
  3. Step 3: Cross multiply
    75,704.79x = 104,477.34 × 41,713.26
  4. Step 4: Simplify right side
    75,704.79x = 4,358,090,603.95
  5. Step 5: Solve for x
    x = 4,358,090,603.95/75,704.79
  6. Step 6: Final answer
    x = 57,566.91

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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.