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Finding the Fourth Proportional to 47,082.09, 64,971.54 and 25,860.09

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Solution

The fourth proportional to 47,082.09, 64,971.54 and 25,860.09 is: 35,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,082.09 : 64,971.54 = 25,860.09 : x
  2. Step 2: Convert to fraction form
    47,082.09/64,971.54 = 25,860.09/x
  3. Step 3: Cross multiply
    47,082.09x = 64,971.54 × 25,860.09
  4. Step 4: Simplify right side
    47,082.09x = 1,680,169,871.84
  5. Step 5: Solve for x
    x = 1,680,169,871.84/47,082.09
  6. Step 6: Final answer
    x = 35,685.97

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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.