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Finding the Fourth Proportional to 52,632.87, 72,637.64 and 29,978.97

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Solution

The fourth proportional to 52,632.87, 72,637.64 and 29,978.97 is: 41,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,632.87 : 72,637.64 = 29,978.97 : x
  2. Step 2: Convert to fraction form
    52,632.87/72,637.64 = 29,978.97/x
  3. Step 3: Cross multiply
    52,632.87x = 72,637.64 × 29,978.97
  4. Step 4: Simplify right side
    52,632.87x = 2,177,601,630.43
  5. Step 5: Solve for x
    x = 2,177,601,630.43/52,632.87
  6. Step 6: Final answer
    x = 41,373.42

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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.