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Finding the Fourth Proportional to 34,024.71, 46,942.86 and 20,590.86

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Solution

The fourth proportional to 34,024.71, 46,942.86 and 20,590.86 is: 28,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024.71 : 46,942.86 = 20,590.86 : x
  2. Step 2: Convert to fraction form
    34,024.71/46,942.86 = 20,590.86/x
  3. Step 3: Cross multiply
    34,024.71x = 46,942.86 × 20,590.86
  4. Step 4: Simplify right side
    34,024.71x = 966,593,858.26
  5. Step 5: Solve for x
    x = 966,593,858.26/34,024.71
  6. Step 6: Final answer
    x = 28,408.58

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1.5x scale

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.