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Finding the Fourth Proportional to 54,766.04, 75,570.72 and 30,891.30

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Solution

The fourth proportional to 54,766.04, 75,570.72 and 30,891.30 is: 42,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,766.04 : 75,570.72 = 30,891.30 : x
  2. Step 2: Convert to fraction form
    54,766.04/75,570.72 = 30,891.30/x
  3. Step 3: Cross multiply
    54,766.04x = 75,570.72 × 30,891.30
  4. Step 4: Simplify right side
    54,766.04x = 2,334,477,782.74
  5. Step 5: Solve for x
    x = 2,334,477,782.74/54,766.04
  6. Step 6: Final answer
    x = 42,626.38

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Why These Related Problems?

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