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Finding the Fourth Proportional to 83,137.06, 114,734.93 and 47,327.06

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Solution

The fourth proportional to 83,137.06, 114,734.93 and 47,327.06 is: 65,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,137.06 : 114,734.93 = 47,327.06 : x
  2. Step 2: Convert to fraction form
    83,137.06/114,734.93 = 47,327.06/x
  3. Step 3: Cross multiply
    83,137.06x = 114,734.93 × 47,327.06
  4. Step 4: Simplify right side
    83,137.06x = 5,430,067,321.36
  5. Step 5: Solve for x
    x = 5,430,067,321.36/83,137.06
  6. Step 6: Final answer
    x = 65,314.64

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1.5x scale

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.