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Finding the Fourth Proportional to 117,007.92, 175,529.16 and 38,096.64

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Solution

The fourth proportional to 117,007.92, 175,529.16 and 38,096.64 is: 57,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007.92 : 175,529.16 = 38,096.64 : x
  2. Step 2: Convert to fraction form
    117,007.92/175,529.16 = 38,096.64/x
  3. Step 3: Cross multiply
    117,007.92x = 175,529.16 × 38,096.64
  4. Step 4: Simplify right side
    117,007.92x = 6,687,071,218.02
  5. Step 5: Solve for x
    x = 6,687,071,218.02/117,007.92
  6. Step 6: Final answer
    x = 57,150.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.