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Finding the Fourth Proportional to 34,021, 46,949.22 and 19,117

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Solution

The fourth proportional to 34,021, 46,949.22 and 19,117 is: 26,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,021 : 46,949.22 = 19,117 : x
  2. Step 2: Convert to fraction form
    34,021/46,949.22 = 19,117/x
  3. Step 3: Cross multiply
    34,021x = 46,949.22 × 19,117
  4. Step 4: Simplify right side
    34,021x = 897,528,238.74
  5. Step 5: Solve for x
    x = 897,528,238.74/34,021
  6. Step 6: Final answer
    x = 26,381.59

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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.