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Finding the Fourth Proportional to 51,196.32, 70,642.80 and 28,836

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Solution

The fourth proportional to 51,196.32, 70,642.80 and 28,836 is: 39,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,196.32 : 70,642.80 = 28,836 : x
  2. Step 2: Convert to fraction form
    51,196.32/70,642.80 = 28,836/x
  3. Step 3: Cross multiply
    51,196.32x = 70,642.80 × 28,836
  4. Step 4: Simplify right side
    51,196.32x = 2,037,055,780.80
  5. Step 5: Solve for x
    x = 2,037,055,780.80/51,196.32
  6. Step 6: Final answer
    x = 39,789.11

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