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Finding the Fourth Proportional to 53,694.76, 74,098.70 and 29,825

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Solution

The fourth proportional to 53,694.76, 74,098.70 and 29,825 is: 41,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694.76 : 74,098.70 = 29,825 : x
  2. Step 2: Convert to fraction form
    53,694.76/74,098.70 = 29,825/x
  3. Step 3: Cross multiply
    53,694.76x = 74,098.70 × 29,825
  4. Step 4: Simplify right side
    53,694.76x = 2,209,993,727.50
  5. Step 5: Solve for x
    x = 2,209,993,727.50/53,694.76
  6. Step 6: Final answer
    x = 41,158.46

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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.