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Finding the Fourth Proportional to 83,863.50, 115,731.63 and 46,136.94

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Solution

The fourth proportional to 83,863.50, 115,731.63 and 46,136.94 is: 63,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,863.50 : 115,731.63 = 46,136.94 : x
  2. Step 2: Convert to fraction form
    83,863.50/115,731.63 = 46,136.94/x
  3. Step 3: Cross multiply
    83,863.50x = 115,731.63 × 46,136.94
  4. Step 4: Simplify right side
    83,863.50x = 5,339,503,269.41
  5. Step 5: Solve for x
    x = 5,339,503,269.41/83,863.50
  6. Step 6: Final answer
    x = 63,668.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.