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Finding the Fourth Proportional to 82,576.71, 123,865.04 and 23,412.89

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Solution

The fourth proportional to 82,576.71, 123,865.04 and 23,412.89 is: 35,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,576.71 : 123,865.04 = 23,412.89 : x
  2. Step 2: Convert to fraction form
    82,576.71/123,865.04 = 23,412.89/x
  3. Step 3: Cross multiply
    82,576.71x = 123,865.04 × 23,412.89
  4. Step 4: Simplify right side
    82,576.71x = 2,900,038,924.56
  5. Step 5: Solve for x
    x = 2,900,038,924.56/82,576.71
  6. Step 6: Final answer
    x = 35,119.33

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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.