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Finding the Fourth Proportional to 83,889.34, 115,763.86 and 48,054.44

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Solution

The fourth proportional to 83,889.34, 115,763.86 and 48,054.44 is: 66,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,889.34 : 115,763.86 = 48,054.44 : x
  2. Step 2: Convert to fraction form
    83,889.34/115,763.86 = 48,054.44/x
  3. Step 3: Cross multiply
    83,889.34x = 115,763.86 × 48,054.44
  4. Step 4: Simplify right side
    83,889.34x = 5,562,967,464.54
  5. Step 5: Solve for x
    x = 5,562,967,464.54/83,889.34
  6. Step 6: Final answer
    x = 66,313.16

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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.