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Finding the Fourth Proportional to 115,221, 172,831.50 and 27,669

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Solution

The fourth proportional to 115,221, 172,831.50 and 27,669 is: 41,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,221 : 172,831.50 = 27,669 : x
  2. Step 2: Convert to fraction form
    115,221/172,831.50 = 27,669/x
  3. Step 3: Cross multiply
    115,221x = 172,831.50 × 27,669
  4. Step 4: Simplify right side
    115,221x = 4,782,074,773.50
  5. Step 5: Solve for x
    x = 4,782,074,773.50/115,221
  6. Step 6: Final answer
    x = 41,503.50

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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.