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Finding the Fourth Proportional to 97,459.44, 134,486.52 and 55,022.16

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Solution

The fourth proportional to 97,459.44, 134,486.52 and 55,022.16 is: 75,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,459.44 : 134,486.52 = 55,022.16 : x
  2. Step 2: Convert to fraction form
    97,459.44/134,486.52 = 55,022.16/x
  3. Step 3: Cross multiply
    97,459.44x = 134,486.52 × 55,022.16
  4. Step 4: Simplify right side
    97,459.44x = 7,399,738,821.28
  5. Step 5: Solve for x
    x = 7,399,738,821.28/97,459.44
  6. Step 6: Final answer
    x = 75,926.34

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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.