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Finding the Fourth Proportional to 110,435.90, 165,675.45 and 47,255.90

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Solution

The fourth proportional to 110,435.90, 165,675.45 and 47,255.90 is: 70,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,435.90 : 165,675.45 = 47,255.90 : x
  2. Step 2: Convert to fraction form
    110,435.90/165,675.45 = 47,255.90/x
  3. Step 3: Cross multiply
    110,435.90x = 165,675.45 × 47,255.90
  4. Step 4: Simplify right side
    110,435.90x = 7,829,142,497.66
  5. Step 5: Solve for x
    x = 7,829,142,497.66/110,435.90
  6. Step 6: Final answer
    x = 70,893.09

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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.