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Finding the Fourth Proportional to 97,324.98, 134,304.39 and 54,887.46

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Solution

The fourth proportional to 97,324.98, 134,304.39 and 54,887.46 is: 75,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324.98 : 134,304.39 = 54,887.46 : x
  2. Step 2: Convert to fraction form
    97,324.98/134,304.39 = 54,887.46/x
  3. Step 3: Cross multiply
    97,324.98x = 134,304.39 × 54,887.46
  4. Step 4: Simplify right side
    97,324.98x = 7,371,626,833.95
  5. Step 5: Solve for x
    x = 7,371,626,833.95/97,324.98
  6. Step 6: Final answer
    x = 75,742.39

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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.