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Finding the Fourth Proportional to 74,460.77, 102,755.48 and 40,468.71

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Solution

The fourth proportional to 74,460.77, 102,755.48 and 40,468.71 is: 55,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460.77 : 102,755.48 = 40,468.71 : x
  2. Step 2: Convert to fraction form
    74,460.77/102,755.48 = 40,468.71/x
  3. Step 3: Cross multiply
    74,460.77x = 102,755.48 × 40,468.71
  4. Step 4: Simplify right side
    74,460.77x = 4,158,381,518.69
  5. Step 5: Solve for x
    x = 4,158,381,518.69/74,460.77
  6. Step 6: Final answer
    x = 55,846.61

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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.