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Finding the Fourth Proportional to 96,698.40, 144,932.40 and 40,538.40

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Solution

The fourth proportional to 96,698.40, 144,932.40 and 40,538.40 is: 60,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,698.40 : 144,932.40 = 40,538.40 : x
  2. Step 2: Convert to fraction form
    96,698.40/144,932.40 = 40,538.40/x
  3. Step 3: Cross multiply
    96,698.40x = 144,932.40 × 40,538.40
  4. Step 4: Simplify right side
    96,698.40x = 5,875,327,604.16
  5. Step 5: Solve for x
    x = 5,875,327,604.16/96,698.40
  6. Step 6: Final answer
    x = 60,759.31

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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.