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Finding the Fourth Proportional to 84,342.62, 116,389.32 and 50,356.64

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Solution

The fourth proportional to 84,342.62, 116,389.32 and 50,356.64 is: 69,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,342.62 : 116,389.32 = 50,356.64 : x
  2. Step 2: Convert to fraction form
    84,342.62/116,389.32 = 50,356.64/x
  3. Step 3: Cross multiply
    84,342.62x = 116,389.32 × 50,356.64
  4. Step 4: Simplify right side
    84,342.62x = 5,860,975,087.08
  5. Step 5: Solve for x
    x = 5,860,975,087.08/84,342.62
  6. Step 6: Final answer
    x = 69,490.08

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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.