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Finding the Fourth Proportional to 82,564.65, 123,836.40 and 26,410.59

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Solution

The fourth proportional to 82,564.65, 123,836.40 and 26,410.59 is: 39,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,564.65 : 123,836.40 = 26,410.59 : x
  2. Step 2: Convert to fraction form
    82,564.65/123,836.40 = 26,410.59/x
  3. Step 3: Cross multiply
    82,564.65x = 123,836.40 × 26,410.59
  4. Step 4: Simplify right side
    82,564.65x = 3,270,592,387.48
  5. Step 5: Solve for x
    x = 3,270,592,387.48/82,564.65
  6. Step 6: Final answer
    x = 39,612.50

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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.