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Finding the Fourth Proportional to 81,071.52, 121,741.72 and 50,103.60

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Solution

The fourth proportional to 81,071.52, 121,741.72 and 50,103.60 is: 75,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,071.52 : 121,741.72 = 50,103.60 : x
  2. Step 2: Convert to fraction form
    81,071.52/121,741.72 = 50,103.60/x
  3. Step 3: Cross multiply
    81,071.52x = 121,741.72 × 50,103.60
  4. Step 4: Simplify right side
    81,071.52x = 6,099,698,442.19
  5. Step 5: Solve for x
    x = 6,099,698,442.19/81,071.52
  6. Step 6: Final answer
    x = 75,238.49

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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.