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Finding the Fourth Proportional to 82,283.40, 123,411.90 and 29,665.80

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Solution

The fourth proportional to 82,283.40, 123,411.90 and 29,665.80 is: 44,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.40 : 123,411.90 = 29,665.80 : x
  2. Step 2: Convert to fraction form
    82,283.40/123,411.90 = 29,665.80/x
  3. Step 3: Cross multiply
    82,283.40x = 123,411.90 × 29,665.80
  4. Step 4: Simplify right side
    82,283.40x = 3,661,112,743.02
  5. Step 5: Solve for x
    x = 3,661,112,743.02/82,283.40
  6. Step 6: Final answer
    x = 44,493.94

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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.