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Finding the Fourth Proportional to 74,497.10, 102,806.41 and 40,505.92

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Solution

The fourth proportional to 74,497.10, 102,806.41 and 40,505.92 is: 55,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,497.10 : 102,806.41 = 40,505.92 : x
  2. Step 2: Convert to fraction form
    74,497.10/102,806.41 = 40,505.92/x
  3. Step 3: Cross multiply
    74,497.10x = 102,806.41 × 40,505.92
  4. Step 4: Simplify right side
    74,497.10x = 4,164,268,218.95
  5. Step 5: Solve for x
    x = 4,164,268,218.95/74,497.10
  6. Step 6: Final answer
    x = 55,898.39

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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.