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Finding the Fourth Proportional to 71,249.72, 106,831.36 and 49,038.70

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Solution

The fourth proportional to 71,249.72, 106,831.36 and 49,038.70 is: 73,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,249.72 : 106,831.36 = 49,038.70 : x
  2. Step 2: Convert to fraction form
    71,249.72/106,831.36 = 49,038.70/x
  3. Step 3: Cross multiply
    71,249.72x = 106,831.36 × 49,038.70
  4. Step 4: Simplify right side
    71,249.72x = 5,238,871,013.63
  5. Step 5: Solve for x
    x = 5,238,871,013.63/71,249.72
  6. Step 6: Final answer
    x = 73,528.30

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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.