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Finding the Fourth Proportional to 82,556.98, 113,929.77 and 46,746.22

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Solution

The fourth proportional to 82,556.98, 113,929.77 and 46,746.22 is: 64,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,556.98 : 113,929.77 = 46,746.22 : x
  2. Step 2: Convert to fraction form
    82,556.98/113,929.77 = 46,746.22/x
  3. Step 3: Cross multiply
    82,556.98x = 113,929.77 × 46,746.22
  4. Step 4: Simplify right side
    82,556.98x = 5,325,786,092.97
  5. Step 5: Solve for x
    x = 5,325,786,092.97/82,556.98
  6. Step 6: Final answer
    x = 64,510.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.