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Finding the Fourth Proportional to 57,274, 85,823.30 and 23,975.92

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Solution

The fourth proportional to 57,274, 85,823.30 and 23,975.92 is: 35,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,274 : 85,823.30 = 23,975.92 : x
  2. Step 2: Convert to fraction form
    57,274/85,823.30 = 23,975.92/x
  3. Step 3: Cross multiply
    57,274x = 85,823.30 × 23,975.92
  4. Step 4: Simplify right side
    57,274x = 2,057,692,574.94
  5. Step 5: Solve for x
    x = 2,057,692,574.94/57,274
  6. Step 6: Final answer
    x = 35,927.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.