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Finding the Fourth Proportional to 34,065.84, 46,999.92 and 20,632.80

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Solution

The fourth proportional to 34,065.84, 46,999.92 and 20,632.80 is: 28,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065.84 : 46,999.92 = 20,632.80 : x
  2. Step 2: Convert to fraction form
    34,065.84/46,999.92 = 20,632.80/x
  3. Step 3: Cross multiply
    34,065.84x = 46,999.92 × 20,632.80
  4. Step 4: Simplify right side
    34,065.84x = 969,739,949.38
  5. Step 5: Solve for x
    x = 969,739,949.38/34,065.84
  6. Step 6: Final answer
    x = 28,466.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.