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Finding the Fourth Proportional to 172,831.56, 259,251.42 and 46,472.04

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Solution

The fourth proportional to 172,831.56, 259,251.42 and 46,472.04 is: 69,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,831.56 : 259,251.42 = 46,472.04 : x
  2. Step 2: Convert to fraction form
    172,831.56/259,251.42 = 46,472.04/x
  3. Step 3: Cross multiply
    172,831.56x = 259,251.42 × 46,472.04
  4. Step 4: Simplify right side
    172,831.56x = 12,047,942,360.30
  5. Step 5: Solve for x
    x = 12,047,942,360.30/172,831.56
  6. Step 6: Final answer
    x = 69,709.16

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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.