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Finding the Fourth Proportional to 114,635.90, 171,978.15 and 34,667.30

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Solution

The fourth proportional to 114,635.90, 171,978.15 and 34,667.30 is: 52,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,635.90 : 171,978.15 = 34,667.30 : x
  2. Step 2: Convert to fraction form
    114,635.90/171,978.15 = 34,667.30/x
  3. Step 3: Cross multiply
    114,635.90x = 171,978.15 × 34,667.30
  4. Step 4: Simplify right side
    114,635.90x = 5,962,018,119.50
  5. Step 5: Solve for x
    x = 5,962,018,119.50/114,635.90
  6. Step 6: Final answer
    x = 52,008.30

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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.