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Finding the Fourth Proportional to 71,973.41, 107,738.67 and 46,959.59

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Solution

The fourth proportional to 71,973.41, 107,738.67 and 46,959.59 is: 70,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,973.41 : 107,738.67 = 46,959.59 : x
  2. Step 2: Convert to fraction form
    71,973.41/107,738.67 = 46,959.59/x
  3. Step 3: Cross multiply
    71,973.41x = 107,738.67 × 46,959.59
  4. Step 4: Simplify right side
    71,973.41x = 5,059,363,535.55
  5. Step 5: Solve for x
    x = 5,059,363,535.55/71,973.41
  6. Step 6: Final answer
    x = 70,294.90

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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.