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Finding the Fourth Proportional to 54,978.06, 75,819.63 and 46,497.96

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Solution

The fourth proportional to 54,978.06, 75,819.63 and 46,497.96 is: 64,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.06 : 75,819.63 = 46,497.96 : x
  2. Step 2: Convert to fraction form
    54,978.06/75,819.63 = 46,497.96/x
  3. Step 3: Cross multiply
    54,978.06x = 75,819.63 × 46,497.96
  4. Step 4: Simplify right side
    54,978.06x = 3,525,458,122.95
  5. Step 5: Solve for x
    x = 3,525,458,122.95/54,978.06
  6. Step 6: Final answer
    x = 64,124.82

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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.