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Finding the Fourth Proportional to 30,969.56, 46,454.81 and 7,596

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Solution

The fourth proportional to 30,969.56, 46,454.81 and 7,596 is: 11,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.56 : 46,454.81 = 7,596 : x
  2. Step 2: Convert to fraction form
    30,969.56/46,454.81 = 7,596/x
  3. Step 3: Cross multiply
    30,969.56x = 46,454.81 × 7,596
  4. Step 4: Simplify right side
    30,969.56x = 352,870,698.78
  5. Step 5: Solve for x
    x = 352,870,698.78/30,969.56
  6. Step 6: Final answer
    x = 11,394.11

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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.