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Finding the Fourth Proportional to 34,795, 52,201.50 and 11,421.64

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Solution

The fourth proportional to 34,795, 52,201.50 and 11,421.64 is: 17,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,795 : 52,201.50 = 11,421.64 : x
  2. Step 2: Convert to fraction form
    34,795/52,201.50 = 11,421.64/x
  3. Step 3: Cross multiply
    34,795x = 52,201.50 × 11,421.64
  4. Step 4: Simplify right side
    34,795x = 596,226,740.46
  5. Step 5: Solve for x
    x = 596,226,740.46/34,795
  6. Step 6: Final answer
    x = 17,135.41

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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.