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Finding the Fourth Proportional to 71,078.44, 97,973.22 and 54,025.96

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Solution

The fourth proportional to 71,078.44, 97,973.22 and 54,025.96 is: 74,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,078.44 : 97,973.22 = 54,025.96 : x
  2. Step 2: Convert to fraction form
    71,078.44/97,973.22 = 54,025.96/x
  3. Step 3: Cross multiply
    71,078.44x = 97,973.22 × 54,025.96
  4. Step 4: Simplify right side
    71,078.44x = 5,293,097,264.79
  5. Step 5: Solve for x
    x = 5,293,097,264.79/71,078.44
  6. Step 6: Final answer
    x = 74,468.39

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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.