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Finding the Fourth Proportional to 51,952, 71,693.76 and 29,596

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Solution

The fourth proportional to 51,952, 71,693.76 and 29,596 is: 40,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952 : 71,693.76 = 29,596 : x
  2. Step 2: Convert to fraction form
    51,952/71,693.76 = 29,596/x
  3. Step 3: Cross multiply
    51,952x = 71,693.76 × 29,596
  4. Step 4: Simplify right side
    51,952x = 2,121,848,520.96
  5. Step 5: Solve for x
    x = 2,121,848,520.96/51,952
  6. Step 6: Final answer
    x = 40,842.48

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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.