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Finding the Fourth Proportional to 29,763.79, 41,074 and 16,335.08

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Solution

The fourth proportional to 29,763.79, 41,074 and 16,335.08 is: 22,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,763.79 : 41,074 = 16,335.08 : x
  2. Step 2: Convert to fraction form
    29,763.79/41,074 = 16,335.08/x
  3. Step 3: Cross multiply
    29,763.79x = 41,074 × 16,335.08
  4. Step 4: Simplify right side
    29,763.79x = 670,947,075.92
  5. Step 5: Solve for x
    x = 670,947,075.92/29,763.79
  6. Step 6: Final answer
    x = 22,542.39

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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.