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Finding the Fourth Proportional to 83,274.68, 114,956.58 and 53,100.56

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Solution

The fourth proportional to 83,274.68, 114,956.58 and 53,100.56 is: 73,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.68 : 114,956.58 = 53,100.56 : x
  2. Step 2: Convert to fraction form
    83,274.68/114,956.58 = 53,100.56/x
  3. Step 3: Cross multiply
    83,274.68x = 114,956.58 × 53,100.56
  4. Step 4: Simplify right side
    83,274.68x = 6,104,258,198.90
  5. Step 5: Solve for x
    x = 6,104,258,198.90/83,274.68
  6. Step 6: Final answer
    x = 73,302.70

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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.