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Finding the Fourth Proportional to 34,005, 46,926.90 and 19,101

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Solution

The fourth proportional to 34,005, 46,926.90 and 19,101 is: 26,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005 : 46,926.90 = 19,101 : x
  2. Step 2: Convert to fraction form
    34,005/46,926.90 = 19,101/x
  3. Step 3: Cross multiply
    34,005x = 46,926.90 × 19,101
  4. Step 4: Simplify right side
    34,005x = 896,350,716.90
  5. Step 5: Solve for x
    x = 896,350,716.90/34,005
  6. Step 6: Final answer
    x = 26,359.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.