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Finding the Fourth Proportional to 72,807.36, 100,463.32 and 40,974.36

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Solution

The fourth proportional to 72,807.36, 100,463.32 and 40,974.36 is: 56,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.36 : 100,463.32 = 40,974.36 : x
  2. Step 2: Convert to fraction form
    72,807.36/100,463.32 = 40,974.36/x
  3. Step 3: Cross multiply
    72,807.36x = 100,463.32 × 40,974.36
  4. Step 4: Simplify right side
    72,807.36x = 4,116,420,240.48
  5. Step 5: Solve for x
    x = 4,116,420,240.48/72,807.36
  6. Step 6: Final answer
    x = 56,538.52

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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.