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Finding the Fourth Proportional to 85,824.88, 118,443.19 and 48,101.56

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Solution

The fourth proportional to 85,824.88, 118,443.19 and 48,101.56 is: 66,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824.88 : 118,443.19 = 48,101.56 : x
  2. Step 2: Convert to fraction form
    85,824.88/118,443.19 = 48,101.56/x
  3. Step 3: Cross multiply
    85,824.88x = 118,443.19 × 48,101.56
  4. Step 4: Simplify right side
    85,824.88x = 5,697,302,210.38
  5. Step 5: Solve for x
    x = 5,697,302,210.38/85,824.88
  6. Step 6: Final answer
    x = 66,382.87

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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.