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Finding the Fourth Proportional to 84,856.64, 117,093.16 and 49,058.16

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Solution

The fourth proportional to 84,856.64, 117,093.16 and 49,058.16 is: 67,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,856.64 : 117,093.16 = 49,058.16 : x
  2. Step 2: Convert to fraction form
    84,856.64/117,093.16 = 49,058.16/x
  3. Step 3: Cross multiply
    84,856.64x = 117,093.16 × 49,058.16
  4. Step 4: Simplify right side
    84,856.64x = 5,744,374,978.19
  5. Step 5: Solve for x
    x = 5,744,374,978.19/84,856.64
  6. Step 6: Final answer
    x = 67,695.06

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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.