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Finding the Fourth Proportional to 76,698.04, 105,843.22 and 43,164.76

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Solution

The fourth proportional to 76,698.04, 105,843.22 and 43,164.76 is: 59,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698.04 : 105,843.22 = 43,164.76 : x
  2. Step 2: Convert to fraction form
    76,698.04/105,843.22 = 43,164.76/x
  3. Step 3: Cross multiply
    76,698.04x = 105,843.22 × 43,164.76
  4. Step 4: Simplify right side
    76,698.04x = 4,568,697,188.93
  5. Step 5: Solve for x
    x = 4,568,697,188.93/76,698.04
  6. Step 6: Final answer
    x = 59,567.33

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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.