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Finding the Fourth Proportional to 31,206.80, 46,810.20 and 12,495.80

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Solution

The fourth proportional to 31,206.80, 46,810.20 and 12,495.80 is: 18,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.80 : 46,810.20 = 12,495.80 : x
  2. Step 2: Convert to fraction form
    31,206.80/46,810.20 = 12,495.80/x
  3. Step 3: Cross multiply
    31,206.80x = 46,810.20 × 12,495.80
  4. Step 4: Simplify right side
    31,206.80x = 584,930,897.16
  5. Step 5: Solve for x
    x = 584,930,897.16/31,206.80
  6. Step 6: Final answer
    x = 18,743.70

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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.