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Finding the Fourth Proportional to 31,210.80, 46,816.20 and 12,499.80

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Solution

The fourth proportional to 31,210.80, 46,816.20 and 12,499.80 is: 18,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.80 : 46,816.20 = 12,499.80 : x
  2. Step 2: Convert to fraction form
    31,210.80/46,816.20 = 12,499.80/x
  3. Step 3: Cross multiply
    31,210.80x = 46,816.20 × 12,499.80
  4. Step 4: Simplify right side
    31,210.80x = 585,193,136.76
  5. Step 5: Solve for x
    x = 585,193,136.76/31,210.80
  6. Step 6: Final answer
    x = 18,749.70

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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.