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Finding the Fourth Proportional to 54,978.92, 75,869.96 and 33,460.86

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Solution

The fourth proportional to 54,978.92, 75,869.96 and 33,460.86 is: 46,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.92 : 75,869.96 = 33,460.86 : x
  2. Step 2: Convert to fraction form
    54,978.92/75,869.96 = 33,460.86/x
  3. Step 3: Cross multiply
    54,978.92x = 75,869.96 × 33,460.86
  4. Step 4: Simplify right side
    54,978.92x = 2,538,674,109.77
  5. Step 5: Solve for x
    x = 2,538,674,109.77/54,978.92
  6. Step 6: Final answer
    x = 46,175.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.