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Finding the Fourth Proportional to 74,002.94, 102,122.53 and 40,468.94

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Solution

The fourth proportional to 74,002.94, 102,122.53 and 40,468.94 is: 55,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,002.94 : 102,122.53 = 40,468.94 : x
  2. Step 2: Convert to fraction form
    74,002.94/102,122.53 = 40,468.94/x
  3. Step 3: Cross multiply
    74,002.94x = 102,122.53 × 40,468.94
  4. Step 4: Simplify right side
    74,002.94x = 4,132,789,927.43
  5. Step 5: Solve for x
    x = 4,132,789,927.43/74,002.94
  6. Step 6: Final answer
    x = 55,846.30

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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.