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Finding the Fourth Proportional to 74,218.38, 102,426.57 and 41,953.23

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Solution

The fourth proportional to 74,218.38, 102,426.57 and 41,953.23 is: 57,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,218.38 : 102,426.57 = 41,953.23 : x
  2. Step 2: Convert to fraction form
    74,218.38/102,426.57 = 41,953.23/x
  3. Step 3: Cross multiply
    74,218.38x = 102,426.57 × 41,953.23
  4. Step 4: Simplify right side
    74,218.38x = 4,297,125,449.32
  5. Step 5: Solve for x
    x = 4,297,125,449.32/74,218.38
  6. Step 6: Final answer
    x = 57,898.40

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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.