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Finding the Fourth Proportional to 109,641.71, 164,449.79 and 29,675.89

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Solution

The fourth proportional to 109,641.71, 164,449.79 and 29,675.89 is: 44,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,641.71 : 164,449.79 = 29,675.89 : x
  2. Step 2: Convert to fraction form
    109,641.71/164,449.79 = 29,675.89/x
  3. Step 3: Cross multiply
    109,641.71x = 164,449.79 × 29,675.89
  4. Step 4: Simplify right side
    109,641.71x = 4,880,192,907.93
  5. Step 5: Solve for x
    x = 4,880,192,907.93/109,641.71
  6. Step 6: Final answer
    x = 44,510.37

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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.