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Finding the Fourth Proportional to 70,514.96, 105,866.28 and 40,954

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Solution

The fourth proportional to 70,514.96, 105,866.28 and 40,954 is: 61,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,514.96 : 105,866.28 = 40,954 : x
  2. Step 2: Convert to fraction form
    70,514.96/105,866.28 = 40,954/x
  3. Step 3: Cross multiply
    70,514.96x = 105,866.28 × 40,954
  4. Step 4: Simplify right side
    70,514.96x = 4,335,647,631.12
  5. Step 5: Solve for x
    x = 4,335,647,631.12/70,514.96
  6. Step 6: Final answer
    x = 61,485.50

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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.