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Finding the Fourth Proportional to 30,981.15, 46,472.13 and 12,253.14

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Solution

The fourth proportional to 30,981.15, 46,472.13 and 12,253.14 is: 18,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.15 : 46,472.13 = 12,253.14 : x
  2. Step 2: Convert to fraction form
    30,981.15/46,472.13 = 12,253.14/x
  3. Step 3: Cross multiply
    30,981.15x = 46,472.13 × 12,253.14
  4. Step 4: Simplify right side
    30,981.15x = 569,429,514.99
  5. Step 5: Solve for x
    x = 569,429,514.99/30,981.15
  6. Step 6: Final answer
    x = 18,379.87

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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.