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Finding the Fourth Proportional to 110,114.94, 165,172.41 and 31,219.32

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Solution

The fourth proportional to 110,114.94, 165,172.41 and 31,219.32 is: 46,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,114.94 : 165,172.41 = 31,219.32 : x
  2. Step 2: Convert to fraction form
    110,114.94/165,172.41 = 31,219.32/x
  3. Step 3: Cross multiply
    110,114.94x = 165,172.41 × 31,219.32
  4. Step 4: Simplify right side
    110,114.94x = 5,156,570,322.96
  5. Step 5: Solve for x
    x = 5,156,570,322.96/110,114.94
  6. Step 6: Final answer
    x = 46,828.98

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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.