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Finding the Fourth Proportional to 54,843.88, 75,683.94 and 30,969.94

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Solution

The fourth proportional to 54,843.88, 75,683.94 and 30,969.94 is: 42,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.88 : 75,683.94 = 30,969.94 : x
  2. Step 2: Convert to fraction form
    54,843.88/75,683.94 = 30,969.94/x
  3. Step 3: Cross multiply
    54,843.88x = 75,683.94 × 30,969.94
  4. Step 4: Simplify right side
    54,843.88x = 2,343,927,080.76
  5. Step 5: Solve for x
    x = 2,343,927,080.76/54,843.88
  6. Step 6: Final answer
    x = 42,738.17

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1.5x scale

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.