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Finding the Fourth Proportional to 82,051.86, 123,083.82 and 29,461.80

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Solution

The fourth proportional to 82,051.86, 123,083.82 and 29,461.80 is: 44,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,051.86 : 123,083.82 = 29,461.80 : x
  2. Step 2: Convert to fraction form
    82,051.86/123,083.82 = 29,461.80/x
  3. Step 3: Cross multiply
    82,051.86x = 123,083.82 × 29,461.80
  4. Step 4: Simplify right side
    82,051.86x = 3,626,270,888.08
  5. Step 5: Solve for x
    x = 3,626,270,888.08/82,051.86
  6. Step 6: Final answer
    x = 44,194.87

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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.