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Finding the Fourth Proportional to 82,598.98, 123,879.79 and 38,201.36

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Solution

The fourth proportional to 82,598.98, 123,879.79 and 38,201.36 is: 57,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,598.98 : 123,879.79 = 38,201.36 : x
  2. Step 2: Convert to fraction form
    82,598.98/123,879.79 = 38,201.36/x
  3. Step 3: Cross multiply
    82,598.98x = 123,879.79 × 38,201.36
  4. Step 4: Simplify right side
    82,598.98x = 4,732,376,263.51
  5. Step 5: Solve for x
    x = 4,732,376,263.51/82,598.98
  6. Step 6: Final answer
    x = 57,293.40

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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.