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Finding the Fourth Proportional to 52,181, 72,009.78 and 29,825.48

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Solution

The fourth proportional to 52,181, 72,009.78 and 29,825.48 is: 41,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,181 : 72,009.78 = 29,825.48 : x
  2. Step 2: Convert to fraction form
    52,181/72,009.78 = 29,825.48/x
  3. Step 3: Cross multiply
    52,181x = 72,009.78 × 29,825.48
  4. Step 4: Simplify right side
    52,181x = 2,147,726,253.19
  5. Step 5: Solve for x
    x = 2,147,726,253.19/52,181
  6. Step 6: Final answer
    x = 41,159.16

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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.