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Finding the Fourth Proportional to 84,809.64, 117,054.72 and 48,994.68

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Solution

The fourth proportional to 84,809.64, 117,054.72 and 48,994.68 is: 67,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,809.64 : 117,054.72 = 48,994.68 : x
  2. Step 2: Convert to fraction form
    84,809.64/117,054.72 = 48,994.68/x
  3. Step 3: Cross multiply
    84,809.64x = 117,054.72 × 48,994.68
  4. Step 4: Simplify right side
    84,809.64x = 5,735,058,548.89
  5. Step 5: Solve for x
    x = 5,735,058,548.89/84,809.64
  6. Step 6: Final answer
    x = 67,622.72

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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.