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Finding the Fourth Proportional to 55,123.84, 82,684.14 and 23,959

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Solution

The fourth proportional to 55,123.84, 82,684.14 and 23,959 is: 35,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,123.84 : 82,684.14 = 23,959 : x
  2. Step 2: Convert to fraction form
    55,123.84/82,684.14 = 23,959/x
  3. Step 3: Cross multiply
    55,123.84x = 82,684.14 × 23,959
  4. Step 4: Simplify right side
    55,123.84x = 1,981,029,310.26
  5. Step 5: Solve for x
    x = 1,981,029,310.26/55,123.84
  6. Step 6: Final answer
    x = 35,937.80

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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.