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Finding the Fourth Proportional to 34,346, 51,511.70 and 27,809.30

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Solution

The fourth proportional to 34,346, 51,511.70 and 27,809.30 is: 41,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,346 : 51,511.70 = 27,809.30 : x
  2. Step 2: Convert to fraction form
    34,346/51,511.70 = 27,809.30/x
  3. Step 3: Cross multiply
    34,346x = 51,511.70 × 27,809.30
  4. Step 4: Simplify right side
    34,346x = 1,432,504,318.81
  5. Step 5: Solve for x
    x = 1,432,504,318.81/34,346
  6. Step 6: Final answer
    x = 41,708.04

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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.