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Finding the Fourth Proportional to 114,737.28, 172,107.50 and 30,497.03

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Solution

The fourth proportional to 114,737.28, 172,107.50 and 30,497.03 is: 45,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,737.28 : 172,107.50 = 30,497.03 : x
  2. Step 2: Convert to fraction form
    114,737.28/172,107.50 = 30,497.03/x
  3. Step 3: Cross multiply
    114,737.28x = 172,107.50 × 30,497.03
  4. Step 4: Simplify right side
    114,737.28x = 5,248,767,943.03
  5. Step 5: Solve for x
    x = 5,248,767,943.03/114,737.28
  6. Step 6: Final answer
    x = 45,745.97

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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.