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Finding the Fourth Proportional to 73,999.08, 110,969.28 and 31,882.32

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Solution

The fourth proportional to 73,999.08, 110,969.28 and 31,882.32 is: 47,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,999.08 : 110,969.28 = 31,882.32 : x
  2. Step 2: Convert to fraction form
    73,999.08/110,969.28 = 31,882.32/x
  3. Step 3: Cross multiply
    73,999.08x = 110,969.28 × 31,882.32
  4. Step 4: Simplify right side
    73,999.08x = 3,537,958,095.13
  5. Step 5: Solve for x
    x = 3,537,958,095.13/73,999.08
  6. Step 6: Final answer
    x = 47,810.84

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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.