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Finding the Fourth Proportional to 95,728.64, 132,107.56 and 53,289.90

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Solution

The fourth proportional to 95,728.64, 132,107.56 and 53,289.90 is: 73,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,728.64 : 132,107.56 = 53,289.90 : x
  2. Step 2: Convert to fraction form
    95,728.64/132,107.56 = 53,289.90/x
  3. Step 3: Cross multiply
    95,728.64x = 132,107.56 × 53,289.90
  4. Step 4: Simplify right side
    95,728.64x = 7,039,998,528.42
  5. Step 5: Solve for x
    x = 7,039,998,528.42/95,728.64
  6. Step 6: Final answer
    x = 73,541.20

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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.