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Finding the Fourth Proportional to 71,946.83, 107,956.70 and 48,524.06

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Solution

The fourth proportional to 71,946.83, 107,956.70 and 48,524.06 is: 72,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946.83 : 107,956.70 = 48,524.06 : x
  2. Step 2: Convert to fraction form
    71,946.83/107,956.70 = 48,524.06/x
  3. Step 3: Cross multiply
    71,946.83x = 107,956.70 × 48,524.06
  4. Step 4: Simplify right side
    71,946.83x = 5,238,497,597.44
  5. Step 5: Solve for x
    x = 5,238,497,597.44/71,946.83
  6. Step 6: Final answer
    x = 72,810.68

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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.