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Finding the Fourth Proportional to 54,706.74, 82,064.13 and 19,646.70

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Solution

The fourth proportional to 54,706.74, 82,064.13 and 19,646.70 is: 29,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706.74 : 82,064.13 = 19,646.70 : x
  2. Step 2: Convert to fraction form
    54,706.74/82,064.13 = 19,646.70/x
  3. Step 3: Cross multiply
    54,706.74x = 82,064.13 × 19,646.70
  4. Step 4: Simplify right side
    54,706.74x = 1,612,289,342.87
  5. Step 5: Solve for x
    x = 1,612,289,342.87/54,706.74
  6. Step 6: Final answer
    x = 29,471.49

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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.