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Finding the Fourth Proportional to 84,868.54, 117,051 and 54,656.35

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Solution

The fourth proportional to 84,868.54, 117,051 and 54,656.35 is: 75,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,868.54 : 117,051 = 54,656.35 : x
  2. Step 2: Convert to fraction form
    84,868.54/117,051 = 54,656.35/x
  3. Step 3: Cross multiply
    84,868.54x = 117,051 × 54,656.35
  4. Step 4: Simplify right side
    84,868.54x = 6,397,580,423.85
  5. Step 5: Solve for x
    x = 6,397,580,423.85/84,868.54
  6. Step 6: Final answer
    x = 75,382.24

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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.