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Finding the Fourth Proportional to 110,420.88, 165,664.46 and 34,516.32

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Solution

The fourth proportional to 110,420.88, 165,664.46 and 34,516.32 is: 51,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,420.88 : 165,664.46 = 34,516.32 : x
  2. Step 2: Convert to fraction form
    110,420.88/165,664.46 = 34,516.32/x
  3. Step 3: Cross multiply
    110,420.88x = 165,664.46 × 34,516.32
  4. Step 4: Simplify right side
    110,420.88x = 5,718,127,513.99
  5. Step 5: Solve for x
    x = 5,718,127,513.99/110,420.88
  6. Step 6: Final answer
    x = 51,784.84

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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.