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Finding the Fourth Proportional to 54,466.74, 81,707.07 and 19,409.94

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Solution

The fourth proportional to 54,466.74, 81,707.07 and 19,409.94 is: 29,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,466.74 : 81,707.07 = 19,409.94 : x
  2. Step 2: Convert to fraction form
    54,466.74/81,707.07 = 19,409.94/x
  3. Step 3: Cross multiply
    54,466.74x = 81,707.07 × 19,409.94
  4. Step 4: Simplify right side
    54,466.74x = 1,585,929,326.28
  5. Step 5: Solve for x
    x = 1,585,929,326.28/54,466.74
  6. Step 6: Final answer
    x = 29,117.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.