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Finding the Fourth Proportional to 51,347.68, 77,050 and 25,052.64

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Solution

The fourth proportional to 51,347.68, 77,050 and 25,052.64 is: 37,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,347.68 : 77,050 = 25,052.64 : x
  2. Step 2: Convert to fraction form
    51,347.68/77,050 = 25,052.64/x
  3. Step 3: Cross multiply
    51,347.68x = 77,050 × 25,052.64
  4. Step 4: Simplify right side
    51,347.68x = 1,930,305,912
  5. Step 5: Solve for x
    x = 1,930,305,912/51,347.68
  6. Step 6: Final answer
    x = 37,592.86

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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.