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Finding the Fourth Proportional to 71,695.34, 98,951.95 and 41,497.31

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Solution

The fourth proportional to 71,695.34, 98,951.95 and 41,497.31 is: 57,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.34 : 98,951.95 = 41,497.31 : x
  2. Step 2: Convert to fraction form
    71,695.34/98,951.95 = 41,497.31/x
  3. Step 3: Cross multiply
    71,695.34x = 98,951.95 × 41,497.31
  4. Step 4: Simplify right side
    71,695.34x = 4,106,240,160.22
  5. Step 5: Solve for x
    x = 4,106,240,160.22/71,695.34
  6. Step 6: Final answer
    x = 57,273.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.