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Finding the Fourth Proportional to 114,077.90, 171,024.42 and 47,567.90

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Solution

The fourth proportional to 114,077.90, 171,024.42 and 47,567.90 is: 71,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,077.90 : 171,024.42 = 47,567.90 : x
  2. Step 2: Convert to fraction form
    114,077.90/171,024.42 = 47,567.90/x
  3. Step 3: Cross multiply
    114,077.90x = 171,024.42 × 47,567.90
  4. Step 4: Simplify right side
    114,077.90x = 8,135,272,508.12
  5. Step 5: Solve for x
    x = 8,135,272,508.12/114,077.90
  6. Step 6: Final answer
    x = 71,313.31

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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.