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Finding the Fourth Proportional to 56,435.56, 84,241.25 and 52,324

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Solution

The fourth proportional to 56,435.56, 84,241.25 and 52,324 is: 78,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,435.56 : 84,241.25 = 52,324 : x
  2. Step 2: Convert to fraction form
    56,435.56/84,241.25 = 52,324/x
  3. Step 3: Cross multiply
    56,435.56x = 84,241.25 × 52,324
  4. Step 4: Simplify right side
    56,435.56x = 4,407,839,165
  5. Step 5: Solve for x
    x = 4,407,839,165/56,435.56
  6. Step 6: Final answer
    x = 78,103.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.