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Finding the Fourth Proportional to 97,862.44, 135,050.22 and 53,150.44

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Solution

The fourth proportional to 97,862.44, 135,050.22 and 53,150.44 is: 73,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,862.44 : 135,050.22 = 53,150.44 : x
  2. Step 2: Convert to fraction form
    97,862.44/135,050.22 = 53,150.44/x
  3. Step 3: Cross multiply
    97,862.44x = 135,050.22 × 53,150.44
  4. Step 4: Simplify right side
    97,862.44x = 7,177,978,615.10
  5. Step 5: Solve for x
    x = 7,177,978,615.10/97,862.44
  6. Step 6: Final answer
    x = 73,347.64

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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.