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Finding the Fourth Proportional to 110,574.72, 165,866.40 and 27,470.88

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Solution

The fourth proportional to 110,574.72, 165,866.40 and 27,470.88 is: 41,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,574.72 : 165,866.40 = 27,470.88 : x
  2. Step 2: Convert to fraction form
    110,574.72/165,866.40 = 27,470.88/x
  3. Step 3: Cross multiply
    110,574.72x = 165,866.40 × 27,470.88
  4. Step 4: Simplify right side
    110,574.72x = 4,556,495,970.43
  5. Step 5: Solve for x
    x = 4,556,495,970.43/110,574.72
  6. Step 6: Final answer
    x = 41,207.39

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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.