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Finding the Fourth Proportional to 53,706, 74,115.28 and 29,834.88

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Solution

The fourth proportional to 53,706, 74,115.28 and 29,834.88 is: 41,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706 : 74,115.28 = 29,834.88 : x
  2. Step 2: Convert to fraction form
    53,706/74,115.28 = 29,834.88/x
  3. Step 3: Cross multiply
    53,706x = 74,115.28 × 29,834.88
  4. Step 4: Simplify right side
    53,706x = 2,211,220,484.97
  5. Step 5: Solve for x
    x = 2,211,220,484.97/53,706
  6. Step 6: Final answer
    x = 41,172.69

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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.