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Finding the Fourth Proportional to 27,894.16, 38,471.32 and 24,529.84

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Solution

The fourth proportional to 27,894.16, 38,471.32 and 24,529.84 is: 33,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.16 : 38,471.32 = 24,529.84 : x
  2. Step 2: Convert to fraction form
    27,894.16/38,471.32 = 24,529.84/x
  3. Step 3: Cross multiply
    27,894.16x = 38,471.32 × 24,529.84
  4. Step 4: Simplify right side
    27,894.16x = 943,695,324.19
  5. Step 5: Solve for x
    x = 943,695,324.19/27,894.16
  6. Step 6: Final answer
    x = 33,831.29

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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.