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Finding the Fourth Proportional to 54,746.71, 82,119.88 and 13,193.71

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Solution

The fourth proportional to 54,746.71, 82,119.88 and 13,193.71 is: 19,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,746.71 : 82,119.88 = 13,193.71 : x
  2. Step 2: Convert to fraction form
    54,746.71/82,119.88 = 13,193.71/x
  3. Step 3: Cross multiply
    54,746.71x = 82,119.88 × 13,193.71
  4. Step 4: Simplify right side
    54,746.71x = 1,083,465,881.95
  5. Step 5: Solve for x
    x = 1,083,465,881.95/54,746.71
  6. Step 6: Final answer
    x = 19,790.52

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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.