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Finding the Fourth Proportional to 52,506.96, 78,672.80 and 36,896.64

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Solution

The fourth proportional to 52,506.96, 78,672.80 and 36,896.64 is: 55,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506.96 : 78,672.80 = 36,896.64 : x
  2. Step 2: Convert to fraction form
    52,506.96/78,672.80 = 36,896.64/x
  3. Step 3: Cross multiply
    52,506.96x = 78,672.80 × 36,896.64
  4. Step 4: Simplify right side
    52,506.96x = 2,902,761,979.39
  5. Step 5: Solve for x
    x = 2,902,761,979.39/52,506.96
  6. Step 6: Final answer
    x = 55,283.38

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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.