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Finding the Fourth Proportional to 31,209.80, 46,814.70 and 22,461.80

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Solution

The fourth proportional to 31,209.80, 46,814.70 and 22,461.80 is: 33,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.80 : 46,814.70 = 22,461.80 : x
  2. Step 2: Convert to fraction form
    31,209.80/46,814.70 = 22,461.80/x
  3. Step 3: Cross multiply
    31,209.80x = 46,814.70 × 22,461.80
  4. Step 4: Simplify right side
    31,209.80x = 1,051,542,428.46
  5. Step 5: Solve for x
    x = 1,051,542,428.46/31,209.80
  6. Step 6: Final answer
    x = 33,692.70

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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.