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Finding the Fourth Proportional to 110,042.34, 165,072.72 and 35,173.14

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Solution

The fourth proportional to 110,042.34, 165,072.72 and 35,173.14 is: 52,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,042.34 : 165,072.72 = 35,173.14 : x
  2. Step 2: Convert to fraction form
    110,042.34/165,072.72 = 35,173.14/x
  3. Step 3: Cross multiply
    110,042.34x = 165,072.72 × 35,173.14
  4. Step 4: Simplify right side
    110,042.34x = 5,806,125,890.74
  5. Step 5: Solve for x
    x = 5,806,125,890.74/110,042.34
  6. Step 6: Final answer
    x = 52,762.65

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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.