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Finding the Fourth Proportional to 97,857.52, 135,043.46 and 53,145.52

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Solution

The fourth proportional to 97,857.52, 135,043.46 and 53,145.52 is: 73,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,857.52 : 135,043.46 = 53,145.52 : x
  2. Step 2: Convert to fraction form
    97,857.52/135,043.46 = 53,145.52/x
  3. Step 3: Cross multiply
    97,857.52x = 135,043.46 × 53,145.52
  4. Step 4: Simplify right side
    97,857.52x = 7,176,954,904.30
  5. Step 5: Solve for x
    x = 7,176,954,904.30/97,857.52
  6. Step 6: Final answer
    x = 73,340.86

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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.