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Finding the Fourth Proportional to 74,653.63, 103,022 and 41,119.63

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Solution

The fourth proportional to 74,653.63, 103,022 and 41,119.63 is: 56,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,653.63 : 103,022 = 41,119.63 : x
  2. Step 2: Convert to fraction form
    74,653.63/103,022 = 41,119.63/x
  3. Step 3: Cross multiply
    74,653.63x = 103,022 × 41,119.63
  4. Step 4: Simplify right side
    74,653.63x = 4,236,226,521.86
  5. Step 5: Solve for x
    x = 4,236,226,521.86/74,653.63
  6. Step 6: Final answer
    x = 56,745.08

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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.