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Finding the Fourth Proportional to 46,978.86, 70,493.80 and 27,271.56

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Solution

The fourth proportional to 46,978.86, 70,493.80 and 27,271.56 is: 40,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.86 : 70,493.80 = 27,271.56 : x
  2. Step 2: Convert to fraction form
    46,978.86/70,493.80 = 27,271.56/x
  3. Step 3: Cross multiply
    46,978.86x = 70,493.80 × 27,271.56
  4. Step 4: Simplify right side
    46,978.86x = 1,922,475,896.33
  5. Step 5: Solve for x
    x = 1,922,475,896.33/46,978.86
  6. Step 6: Final answer
    x = 40,922.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.