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Finding the Fourth Proportional to 74,008.98, 102,133.89 and 40,477.14

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Solution

The fourth proportional to 74,008.98, 102,133.89 and 40,477.14 is: 55,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,008.98 : 102,133.89 = 40,477.14 : x
  2. Step 2: Convert to fraction form
    74,008.98/102,133.89 = 40,477.14/x
  3. Step 3: Cross multiply
    74,008.98x = 102,133.89 × 40,477.14
  4. Step 4: Simplify right side
    74,008.98x = 4,134,087,764.27
  5. Step 5: Solve for x
    x = 4,134,087,764.27/74,008.98
  6. Step 6: Final answer
    x = 55,859.27

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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.