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Finding the Fourth Proportional to 74,804.16, 103,225.68 and 41,268

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Solution

The fourth proportional to 74,804.16, 103,225.68 and 41,268 is: 56,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,804.16 : 103,225.68 = 41,268 : x
  2. Step 2: Convert to fraction form
    74,804.16/103,225.68 = 41,268/x
  3. Step 3: Cross multiply
    74,804.16x = 103,225.68 × 41,268
  4. Step 4: Simplify right side
    74,804.16x = 4,259,917,362.24
  5. Step 5: Solve for x
    x = 4,259,917,362.24/74,804.16
  6. Step 6: Final answer
    x = 56,947.60

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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.