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Finding the Fourth Proportional to 54,746.66, 82,119.99 and 13,193.66

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Solution

The fourth proportional to 54,746.66, 82,119.99 and 13,193.66 is: 19,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,746.66 : 82,119.99 = 13,193.66 : x
  2. Step 2: Convert to fraction form
    54,746.66/82,119.99 = 13,193.66/x
  3. Step 3: Cross multiply
    54,746.66x = 82,119.99 × 13,193.66
  4. Step 4: Simplify right side
    54,746.66x = 1,083,463,227.26
  5. Step 5: Solve for x
    x = 1,083,463,227.26/54,746.66
  6. Step 6: Final answer
    x = 19,790.49

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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.