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Finding the Fourth Proportional to 30,596.41, 45,869.91 and 11,866.78

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Solution

The fourth proportional to 30,596.41, 45,869.91 and 11,866.78 is: 17,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.41 : 45,869.91 = 11,866.78 : x
  2. Step 2: Convert to fraction form
    30,596.41/45,869.91 = 11,866.78/x
  3. Step 3: Cross multiply
    30,596.41x = 45,869.91 × 11,866.78
  4. Step 4: Simplify right side
    30,596.41x = 544,328,130.59
  5. Step 5: Solve for x
    x = 544,328,130.59/30,596.41
  6. Step 6: Final answer
    x = 17,790.59

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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.