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Finding the Fourth Proportional to 71,762.28, 107,643.48 and 34,313.52

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Solution

The fourth proportional to 71,762.28, 107,643.48 and 34,313.52 is: 51,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762.28 : 107,643.48 = 34,313.52 : x
  2. Step 2: Convert to fraction form
    71,762.28/107,643.48 = 34,313.52/x
  3. Step 3: Cross multiply
    71,762.28x = 107,643.48 × 34,313.52
  4. Step 4: Simplify right side
    71,762.28x = 3,693,626,703.85
  5. Step 5: Solve for x
    x = 3,693,626,703.85/71,762.28
  6. Step 6: Final answer
    x = 51,470.31

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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.