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Finding the Fourth Proportional to 74,012.38, 102,139.51 and 40,478.38

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Solution

The fourth proportional to 74,012.38, 102,139.51 and 40,478.38 is: 55,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,012.38 : 102,139.51 = 40,478.38 : x
  2. Step 2: Convert to fraction form
    74,012.38/102,139.51 = 40,478.38/x
  3. Step 3: Cross multiply
    74,012.38x = 102,139.51 × 40,478.38
  4. Step 4: Simplify right side
    74,012.38x = 4,134,441,388.10
  5. Step 5: Solve for x
    x = 4,134,441,388.10/74,012.38
  6. Step 6: Final answer
    x = 55,861.49

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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.