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Finding the Fourth Proportional to 54,051.74, 80,722.74 and 46,069.20

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Solution

The fourth proportional to 54,051.74, 80,722.74 and 46,069.20 is: 68,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,051.74 : 80,722.74 = 46,069.20 : x
  2. Step 2: Convert to fraction form
    54,051.74/80,722.74 = 46,069.20/x
  3. Step 3: Cross multiply
    54,051.74x = 80,722.74 × 46,069.20
  4. Step 4: Simplify right side
    54,051.74x = 3,718,832,053.61
  5. Step 5: Solve for x
    x = 3,718,832,053.61/54,051.74
  6. Step 6: Final answer
    x = 68,801.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.