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Finding the Fourth Proportional to 54,978.14, 82,483.62 and 38,998.46

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Solution

The fourth proportional to 54,978.14, 82,483.62 and 38,998.46 is: 58,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.14 : 82,483.62 = 38,998.46 : x
  2. Step 2: Convert to fraction form
    54,978.14/82,483.62 = 38,998.46/x
  3. Step 3: Cross multiply
    54,978.14x = 82,483.62 × 38,998.46
  4. Step 4: Simplify right side
    54,978.14x = 3,216,734,155.23
  5. Step 5: Solve for x
    x = 3,216,734,155.23/54,978.14
  6. Step 6: Final answer
    x = 58,509.33

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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.