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Finding the Fourth Proportional to 97,769, 134,921.22 and 53,057

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Solution

The fourth proportional to 97,769, 134,921.22 and 53,057 is: 73,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,769 : 134,921.22 = 53,057 : x
  2. Step 2: Convert to fraction form
    97,769/134,921.22 = 53,057/x
  3. Step 3: Cross multiply
    97,769x = 134,921.22 × 53,057
  4. Step 4: Simplify right side
    97,769x = 7,158,515,169.54
  5. Step 5: Solve for x
    x = 7,158,515,169.54/97,769
  6. Step 6: Final answer
    x = 73,218.66

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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.