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Finding the Fourth Proportional to 46,751.40, 70,085.39 and 20,435.31

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Solution

The fourth proportional to 46,751.40, 70,085.39 and 20,435.31 is: 30,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,751.40 : 70,085.39 = 20,435.31 : x
  2. Step 2: Convert to fraction form
    46,751.40/70,085.39 = 20,435.31/x
  3. Step 3: Cross multiply
    46,751.40x = 70,085.39 × 20,435.31
  4. Step 4: Simplify right side
    46,751.40x = 1,432,216,568.94
  5. Step 5: Solve for x
    x = 1,432,216,568.94/46,751.40
  6. Step 6: Final answer
    x = 30,634.73

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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.