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Finding the Fourth Proportional to 34,846.54, 52,140.64 and 20,814.20

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Solution

The fourth proportional to 34,846.54, 52,140.64 and 20,814.20 is: 31,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846.54 : 52,140.64 = 20,814.20 : x
  2. Step 2: Convert to fraction form
    34,846.54/52,140.64 = 20,814.20/x
  3. Step 3: Cross multiply
    34,846.54x = 52,140.64 × 20,814.20
  4. Step 4: Simplify right side
    34,846.54x = 1,085,265,605.02
  5. Step 5: Solve for x
    x = 1,085,265,605.02/34,846.54
  6. Step 6: Final answer
    x = 31,144.14

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1.5x scale

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.