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Finding the Fourth Proportional to 34,446.96, 51,669.72 and 9,486.90

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Solution

The fourth proportional to 34,446.96, 51,669.72 and 9,486.90 is: 14,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,446.96 : 51,669.72 = 9,486.90 : x
  2. Step 2: Convert to fraction form
    34,446.96/51,669.72 = 9,486.90/x
  3. Step 3: Cross multiply
    34,446.96x = 51,669.72 × 9,486.90
  4. Step 4: Simplify right side
    34,446.96x = 490,185,466.67
  5. Step 5: Solve for x
    x = 490,185,466.67/34,446.96
  6. Step 6: Final answer
    x = 14,230.15

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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.