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Finding the Fourth Proportional to 34,978.14, 48,268.41 and 19,062.24

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Solution

The fourth proportional to 34,978.14, 48,268.41 and 19,062.24 is: 26,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978.14 : 48,268.41 = 19,062.24 : x
  2. Step 2: Convert to fraction form
    34,978.14/48,268.41 = 19,062.24/x
  3. Step 3: Cross multiply
    34,978.14x = 48,268.41 × 19,062.24
  4. Step 4: Simplify right side
    34,978.14x = 920,104,015.84
  5. Step 5: Solve for x
    x = 920,104,015.84/34,978.14
  6. Step 6: Final answer
    x = 26,305.12

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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.