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Finding the Fourth Proportional to 73,414.86, 101,312.70 and 41,583.75

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Solution

The fourth proportional to 73,414.86, 101,312.70 and 41,583.75 is: 57,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,414.86 : 101,312.70 = 41,583.75 : x
  2. Step 2: Convert to fraction form
    73,414.86/101,312.70 = 41,583.75/x
  3. Step 3: Cross multiply
    73,414.86x = 101,312.70 × 41,583.75
  4. Step 4: Simplify right side
    73,414.86x = 4,212,961,988.63
  5. Step 5: Solve for x
    x = 4,212,961,988.63/73,414.86
  6. Step 6: Final answer
    x = 57,385.68

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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.