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Finding the Fourth Proportional to 52,931.79, 73,043.17 and 31,422.46

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Solution

The fourth proportional to 52,931.79, 73,043.17 and 31,422.46 is: 43,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,931.79 : 73,043.17 = 31,422.46 : x
  2. Step 2: Convert to fraction form
    52,931.79/73,043.17 = 31,422.46/x
  3. Step 3: Cross multiply
    52,931.79x = 73,043.17 × 31,422.46
  4. Step 4: Simplify right side
    52,931.79x = 2,295,196,087.60
  5. Step 5: Solve for x
    x = 2,295,196,087.60/52,931.79
  6. Step 6: Final answer
    x = 43,361.39

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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.