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Finding the Fourth Proportional to 34,714.67, 52,071.99 and 8,419.17

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Solution

The fourth proportional to 34,714.67, 52,071.99 and 8,419.17 is: 12,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714.67 : 52,071.99 = 8,419.17 : x
  2. Step 2: Convert to fraction form
    34,714.67/52,071.99 = 8,419.17/x
  3. Step 3: Cross multiply
    34,714.67x = 52,071.99 × 8,419.17
  4. Step 4: Simplify right side
    34,714.67x = 438,402,936.05
  5. Step 5: Solve for x
    x = 438,402,936.05/34,714.67
  6. Step 6: Final answer
    x = 12,628.75

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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.