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Finding the Fourth Proportional to 75,954.68, 104,823.60 and 41,966.16

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Solution

The fourth proportional to 75,954.68, 104,823.60 and 41,966.16 is: 57,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.68 : 104,823.60 = 41,966.16 : x
  2. Step 2: Convert to fraction form
    75,954.68/104,823.60 = 41,966.16/x
  3. Step 3: Cross multiply
    75,954.68x = 104,823.60 × 41,966.16
  4. Step 4: Simplify right side
    75,954.68x = 4,399,043,969.38
  5. Step 5: Solve for x
    x = 4,399,043,969.38/75,954.68
  6. Step 6: Final answer
    x = 57,916.69

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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.