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Finding the Fourth Proportional to 53,706.67, 74,112.69 and 29,834.80

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Solution

The fourth proportional to 53,706.67, 74,112.69 and 29,834.80 is: 41,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706.67 : 74,112.69 = 29,834.80 : x
  2. Step 2: Convert to fraction form
    53,706.67/74,112.69 = 29,834.80/x
  3. Step 3: Cross multiply
    53,706.67x = 74,112.69 × 29,834.80
  4. Step 4: Simplify right side
    53,706.67x = 2,211,137,283.61
  5. Step 5: Solve for x
    x = 2,211,137,283.61/53,706.67
  6. Step 6: Final answer
    x = 41,170.63

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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.