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Finding the Fourth Proportional to 34,492.30, 51,695.18 and 14,747.68

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Solution

The fourth proportional to 34,492.30, 51,695.18 and 14,747.68 is: 22,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,492.30 : 51,695.18 = 14,747.68 : x
  2. Step 2: Convert to fraction form
    34,492.30/51,695.18 = 14,747.68/x
  3. Step 3: Cross multiply
    34,492.30x = 51,695.18 × 14,747.68
  4. Step 4: Simplify right side
    34,492.30x = 762,383,879.81
  5. Step 5: Solve for x
    x = 762,383,879.81/34,492.30
  6. Step 6: Final answer
    x = 22,103.02

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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.