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Finding the Fourth Proportional to 34,004, 46,929.92 and 19,100

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Solution

The fourth proportional to 34,004, 46,929.92 and 19,100 is: 26,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004 : 46,929.92 = 19,100 : x
  2. Step 2: Convert to fraction form
    34,004/46,929.92 = 19,100/x
  3. Step 3: Cross multiply
    34,004x = 46,929.92 × 19,100
  4. Step 4: Simplify right side
    34,004x = 896,361,472
  5. Step 5: Solve for x
    x = 896,361,472/34,004
  6. Step 6: Final answer
    x = 26,360.47

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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.