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Finding the Fourth Proportional to 97,407.09, 146,116.31 and 27,291.87

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Solution

The fourth proportional to 97,407.09, 146,116.31 and 27,291.87 is: 40,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407.09 : 146,116.31 = 27,291.87 : x
  2. Step 2: Convert to fraction form
    97,407.09/146,116.31 = 27,291.87/x
  3. Step 3: Cross multiply
    97,407.09x = 146,116.31 × 27,291.87
  4. Step 4: Simplify right side
    97,407.09x = 3,987,787,200.94
  5. Step 5: Solve for x
    x = 3,987,787,200.94/97,407.09
  6. Step 6: Final answer
    x = 40,939.39

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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.