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Finding the Fourth Proportional to 53,597.64, 73,964.72 and 29,727.96

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Solution

The fourth proportional to 53,597.64, 73,964.72 and 29,727.96 is: 41,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,597.64 : 73,964.72 = 29,727.96 : x
  2. Step 2: Convert to fraction form
    53,597.64/73,964.72 = 29,727.96/x
  3. Step 3: Cross multiply
    53,597.64x = 73,964.72 × 29,727.96
  4. Step 4: Simplify right side
    53,597.64x = 2,198,820,237.57
  5. Step 5: Solve for x
    x = 2,198,820,237.57/53,597.64
  6. Step 6: Final answer
    x = 41,024.57

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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.