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Finding the Fourth Proportional to 97,439.70, 134,464.14 and 54,418.02

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Solution

The fourth proportional to 97,439.70, 134,464.14 and 54,418.02 is: 75,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,439.70 : 134,464.14 = 54,418.02 : x
  2. Step 2: Convert to fraction form
    97,439.70/134,464.14 = 54,418.02/x
  3. Step 3: Cross multiply
    97,439.70x = 134,464.14 × 54,418.02
  4. Step 4: Simplify right side
    97,439.70x = 7,317,272,259.80
  5. Step 5: Solve for x
    x = 7,317,272,259.80/97,439.70
  6. Step 6: Final answer
    x = 75,095.39

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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.