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Finding the Fourth Proportional to 74,488.53, 102,796.20 and 40,499.30

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Solution

The fourth proportional to 74,488.53, 102,796.20 and 40,499.30 is: 55,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,488.53 : 102,796.20 = 40,499.30 : x
  2. Step 2: Convert to fraction form
    74,488.53/102,796.20 = 40,499.30/x
  3. Step 3: Cross multiply
    74,488.53x = 102,796.20 × 40,499.30
  4. Step 4: Simplify right side
    74,488.53x = 4,163,174,142.66
  5. Step 5: Solve for x
    x = 4,163,174,142.66/74,488.53
  6. Step 6: Final answer
    x = 55,890.14

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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.