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Finding the Fourth Proportional to 110,280, 165,421.62 and 27,174

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Solution

The fourth proportional to 110,280, 165,421.62 and 27,174 is: 40,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,280 : 165,421.62 = 27,174 : x
  2. Step 2: Convert to fraction form
    110,280/165,421.62 = 27,174/x
  3. Step 3: Cross multiply
    110,280x = 165,421.62 × 27,174
  4. Step 4: Simplify right side
    110,280x = 4,495,167,101.88
  5. Step 5: Solve for x
    x = 4,495,167,101.88/110,280
  6. Step 6: Final answer
    x = 40,761.40

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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.