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Finding the Fourth Proportional to 29,803.84, 44,709 and 11,081.68

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Solution

The fourth proportional to 29,803.84, 44,709 and 11,081.68 is: 16,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,803.84 : 44,709 = 11,081.68 : x
  2. Step 2: Convert to fraction form
    29,803.84/44,709 = 11,081.68/x
  3. Step 3: Cross multiply
    29,803.84x = 44,709 × 11,081.68
  4. Step 4: Simplify right side
    29,803.84x = 495,450,831.12
  5. Step 5: Solve for x
    x = 495,450,831.12/29,803.84
  6. Step 6: Final answer
    x = 16,623.72

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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.