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Finding the Fourth Proportional to 51,196.88, 70,649.41 and 28,538.34

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Solution

The fourth proportional to 51,196.88, 70,649.41 and 28,538.34 is: 39,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,196.88 : 70,649.41 = 28,538.34 : x
  2. Step 2: Convert to fraction form
    51,196.88/70,649.41 = 28,538.34/x
  3. Step 3: Cross multiply
    51,196.88x = 70,649.41 × 28,538.34
  4. Step 4: Simplify right side
    51,196.88x = 2,016,216,883.38
  5. Step 5: Solve for x
    x = 2,016,216,883.38/51,196.88
  6. Step 6: Final answer
    x = 39,381.64

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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.