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Finding the Fourth Proportional to 73,698.44, 110,453.16 and 53,657.16

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Solution

The fourth proportional to 73,698.44, 110,453.16 and 53,657.16 is: 80,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,698.44 : 110,453.16 = 53,657.16 : x
  2. Step 2: Convert to fraction form
    73,698.44/110,453.16 = 53,657.16/x
  3. Step 3: Cross multiply
    73,698.44x = 110,453.16 × 53,657.16
  4. Step 4: Simplify right side
    73,698.44x = 5,926,602,878.63
  5. Step 5: Solve for x
    x = 5,926,602,878.63/73,698.44
  6. Step 6: Final answer
    x = 80,416.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.