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Finding the Fourth Proportional to 74,437.63, 102,724.34 and 40,446.38

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Solution

The fourth proportional to 74,437.63, 102,724.34 and 40,446.38 is: 55,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,437.63 : 102,724.34 = 40,446.38 : x
  2. Step 2: Convert to fraction form
    74,437.63/102,724.34 = 40,446.38/x
  3. Step 3: Cross multiply
    74,437.63x = 102,724.34 × 40,446.38
  4. Step 4: Simplify right side
    74,437.63x = 4,154,827,745.47
  5. Step 5: Solve for x
    x = 4,154,827,745.47/74,437.63
  6. Step 6: Final answer
    x = 55,816.23

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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.