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Finding the Fourth Proportional to 114,635.98, 171,956.02 and 39,758.76

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Solution

The fourth proportional to 114,635.98, 171,956.02 and 39,758.76 is: 59,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,635.98 : 171,956.02 = 39,758.76 : x
  2. Step 2: Convert to fraction form
    114,635.98/171,956.02 = 39,758.76/x
  3. Step 3: Cross multiply
    114,635.98x = 171,956.02 × 39,758.76
  4. Step 4: Simplify right side
    114,635.98x = 6,836,758,129.74
  5. Step 5: Solve for x
    x = 6,836,758,129.74/114,635.98
  6. Step 6: Final answer
    x = 59,638.85

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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.