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Finding the Fourth Proportional to 84,327.86, 116,374.86 and 46,089.54

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Solution

The fourth proportional to 84,327.86, 116,374.86 and 46,089.54 is: 63,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,327.86 : 116,374.86 = 46,089.54 : x
  2. Step 2: Convert to fraction form
    84,327.86/116,374.86 = 46,089.54/x
  3. Step 3: Cross multiply
    84,327.86x = 116,374.86 × 46,089.54
  4. Step 4: Simplify right side
    84,327.86x = 5,363,663,764.96
  5. Step 5: Solve for x
    x = 5,363,663,764.96/84,327.86
  6. Step 6: Final answer
    x = 63,604.88

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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.