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Finding the Fourth Proportional to 42,834.69, 64,252.04 and 11,674.53

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Solution

The fourth proportional to 42,834.69, 64,252.04 and 11,674.53 is: 17,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,834.69 : 64,252.04 = 11,674.53 : x
  2. Step 2: Convert to fraction form
    42,834.69/64,252.04 = 11,674.53/x
  3. Step 3: Cross multiply
    42,834.69x = 64,252.04 × 11,674.53
  4. Step 4: Simplify right side
    42,834.69x = 750,112,310.17
  5. Step 5: Solve for x
    x = 750,112,310.17/42,834.69
  6. Step 6: Final answer
    x = 17,511.80

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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.