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Finding the Fourth Proportional to 34,022.52, 46,952.04 and 20,596.20

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Solution

The fourth proportional to 34,022.52, 46,952.04 and 20,596.20 is: 28,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022.52 : 46,952.04 = 20,596.20 : x
  2. Step 2: Convert to fraction form
    34,022.52/46,952.04 = 20,596.20/x
  3. Step 3: Cross multiply
    34,022.52x = 46,952.04 × 20,596.20
  4. Step 4: Simplify right side
    34,022.52x = 967,033,606.25
  5. Step 5: Solve for x
    x = 967,033,606.25/34,022.52
  6. Step 6: Final answer
    x = 28,423.34

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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.