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Finding the Fourth Proportional to 28,114, 42,171.42 and 7,337.50

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Solution

The fourth proportional to 28,114, 42,171.42 and 7,337.50 is: 11,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114 : 42,171.42 = 7,337.50 : x
  2. Step 2: Convert to fraction form
    28,114/42,171.42 = 7,337.50/x
  3. Step 3: Cross multiply
    28,114x = 42,171.42 × 7,337.50
  4. Step 4: Simplify right side
    28,114x = 309,432,794.25
  5. Step 5: Solve for x
    x = 309,432,794.25/28,114
  6. Step 6: Final answer
    x = 11,006.36

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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.