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Finding the Fourth Proportional to 114,223.92, 171,315.24 and 31,098.48

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Solution

The fourth proportional to 114,223.92, 171,315.24 and 31,098.48 is: 46,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,223.92 : 171,315.24 = 31,098.48 : x
  2. Step 2: Convert to fraction form
    114,223.92/171,315.24 = 31,098.48/x
  3. Step 3: Cross multiply
    114,223.92x = 171,315.24 × 31,098.48
  4. Step 4: Simplify right side
    114,223.92x = 5,327,643,564.84
  5. Step 5: Solve for x
    x = 5,327,643,564.84/114,223.92
  6. Step 6: Final answer
    x = 46,642.10

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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.