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Finding the Fourth Proportional to 74,007.94, 110,999.75 and 31,876.76

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Solution

The fourth proportional to 74,007.94, 110,999.75 and 31,876.76 is: 47,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,007.94 : 110,999.75 = 31,876.76 : x
  2. Step 2: Convert to fraction form
    74,007.94/110,999.75 = 31,876.76/x
  3. Step 3: Cross multiply
    74,007.94x = 110,999.75 × 31,876.76
  4. Step 4: Simplify right side
    74,007.94x = 3,538,311,756.12
  5. Step 5: Solve for x
    x = 3,538,311,756.12/74,007.94
  6. Step 6: Final answer
    x = 47,809.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.