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Finding the Fourth Proportional to 74,014.98, 102,142.17 and 40,483.14

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Solution

The fourth proportional to 74,014.98, 102,142.17 and 40,483.14 is: 55,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,014.98 : 102,142.17 = 40,483.14 : x
  2. Step 2: Convert to fraction form
    74,014.98/102,142.17 = 40,483.14/x
  3. Step 3: Cross multiply
    74,014.98x = 102,142.17 × 40,483.14
  4. Step 4: Simplify right side
    74,014.98x = 4,135,035,768.01
  5. Step 5: Solve for x
    x = 4,135,035,768.01/74,014.98
  6. Step 6: Final answer
    x = 55,867.55

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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.