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Finding the Fourth Proportional to 73,886.64, 102,074.76 and 48,453.36

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Solution

The fourth proportional to 73,886.64, 102,074.76 and 48,453.36 is: 66,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,886.64 : 102,074.76 = 48,453.36 : x
  2. Step 2: Convert to fraction form
    73,886.64/102,074.76 = 48,453.36/x
  3. Step 3: Cross multiply
    73,886.64x = 102,074.76 × 48,453.36
  4. Step 4: Simplify right side
    73,886.64x = 4,945,865,093.19
  5. Step 5: Solve for x
    x = 4,945,865,093.19/73,886.64
  6. Step 6: Final answer
    x = 66,938.56

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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.