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Finding the Fourth Proportional to 106,903.46, 160,353.47 and 36,783.38

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Solution

The fourth proportional to 106,903.46, 160,353.47 and 36,783.38 is: 55,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.46 : 160,353.47 = 36,783.38 : x
  2. Step 2: Convert to fraction form
    106,903.46/160,353.47 = 36,783.38/x
  3. Step 3: Cross multiply
    106,903.46x = 160,353.47 × 36,783.38
  4. Step 4: Simplify right side
    106,903.46x = 5,898,342,621.33
  5. Step 5: Solve for x
    x = 5,898,342,621.33/106,903.46
  6. Step 6: Final answer
    x = 55,174.48

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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.