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Finding the Fourth Proportional to 56,655.44, 84,993.36 and 46,218

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Solution

The fourth proportional to 56,655.44, 84,993.36 and 46,218 is: 69,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,655.44 : 84,993.36 = 46,218 : x
  2. Step 2: Convert to fraction form
    56,655.44/84,993.36 = 46,218/x
  3. Step 3: Cross multiply
    56,655.44x = 84,993.36 × 46,218
  4. Step 4: Simplify right side
    56,655.44x = 3,928,223,112.48
  5. Step 5: Solve for x
    x = 3,928,223,112.48/56,655.44
  6. Step 6: Final answer
    x = 69,335.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.