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Finding the Fourth Proportional to 114,857.74, 172,289.85 and 31,751.74

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Solution

The fourth proportional to 114,857.74, 172,289.85 and 31,751.74 is: 47,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,857.74 : 172,289.85 = 31,751.74 : x
  2. Step 2: Convert to fraction form
    114,857.74/172,289.85 = 31,751.74/x
  3. Step 3: Cross multiply
    114,857.74x = 172,289.85 × 31,751.74
  4. Step 4: Simplify right side
    114,857.74x = 5,470,502,521.84
  5. Step 5: Solve for x
    x = 5,470,502,521.84/114,857.74
  6. Step 6: Final answer
    x = 47,628.51

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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.