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Finding the Fourth Proportional to 82,624.74, 123,914.97 and 35,866.50

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Solution

The fourth proportional to 82,624.74, 123,914.97 and 35,866.50 is: 53,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,624.74 : 123,914.97 = 35,866.50 : x
  2. Step 2: Convert to fraction form
    82,624.74/123,914.97 = 35,866.50/x
  3. Step 3: Cross multiply
    82,624.74x = 123,914.97 × 35,866.50
  4. Step 4: Simplify right side
    82,624.74x = 4,444,396,271.51
  5. Step 5: Solve for x
    x = 4,444,396,271.51/82,624.74
  6. Step 6: Final answer
    x = 53,790.14

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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.