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Finding the Fourth Proportional to 73,916.19, 102,004.38 and 40,382.19

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Solution

The fourth proportional to 73,916.19, 102,004.38 and 40,382.19 is: 55,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,916.19 : 102,004.38 = 40,382.19 : x
  2. Step 2: Convert to fraction form
    73,916.19/102,004.38 = 40,382.19/x
  3. Step 3: Cross multiply
    73,916.19x = 102,004.38 × 40,382.19
  4. Step 4: Simplify right side
    73,916.19x = 4,119,160,253.99
  5. Step 5: Solve for x
    x = 4,119,160,253.99/73,916.19
  6. Step 6: Final answer
    x = 55,727.44

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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.