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Finding the Fourth Proportional to 54,798.50, 75,621.94 and 29,648

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Solution

The fourth proportional to 54,798.50, 75,621.94 and 29,648 is: 40,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798.50 : 75,621.94 = 29,648 : x
  2. Step 2: Convert to fraction form
    54,798.50/75,621.94 = 29,648/x
  3. Step 3: Cross multiply
    54,798.50x = 75,621.94 × 29,648
  4. Step 4: Simplify right side
    54,798.50x = 2,242,039,277.12
  5. Step 5: Solve for x
    x = 2,242,039,277.12/54,798.50
  6. Step 6: Final answer
    x = 40,914.25

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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.