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Finding the Fourth Proportional to 54,689.04, 75,473.64 and 33,462

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Solution

The fourth proportional to 54,689.04, 75,473.64 and 33,462 is: 46,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,689.04 : 75,473.64 = 33,462 : x
  2. Step 2: Convert to fraction form
    54,689.04/75,473.64 = 33,462/x
  3. Step 3: Cross multiply
    54,689.04x = 75,473.64 × 33,462
  4. Step 4: Simplify right side
    54,689.04x = 2,525,498,941.68
  5. Step 5: Solve for x
    x = 2,525,498,941.68/54,689.04
  6. Step 6: Final answer
    x = 46,179.25

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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.