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Finding the Fourth Proportional to 50,491.35, 69,678.50 and 27,831.14

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Solution

The fourth proportional to 50,491.35, 69,678.50 and 27,831.14 is: 38,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491.35 : 69,678.50 = 27,831.14 : x
  2. Step 2: Convert to fraction form
    50,491.35/69,678.50 = 27,831.14/x
  3. Step 3: Cross multiply
    50,491.35x = 69,678.50 × 27,831.14
  4. Step 4: Simplify right side
    50,491.35x = 1,939,231,600.94
  5. Step 5: Solve for x
    x = 1,939,231,600.94/50,491.35
  6. Step 6: Final answer
    x = 38,407.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.