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Finding the Fourth Proportional to 57,955.84, 86,972.64 and 20,516

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Solution

The fourth proportional to 57,955.84, 86,972.64 and 20,516 is: 30,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,955.84 : 86,972.64 = 20,516 : x
  2. Step 2: Convert to fraction form
    57,955.84/86,972.64 = 20,516/x
  3. Step 3: Cross multiply
    57,955.84x = 86,972.64 × 20,516
  4. Step 4: Simplify right side
    57,955.84x = 1,784,330,682.24
  5. Step 5: Solve for x
    x = 1,784,330,682.24/57,955.84
  6. Step 6: Final answer
    x = 30,787.76

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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.