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Finding the Fourth Proportional to 102,818.40, 154,243.80 and 32,704.80

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Solution

The fourth proportional to 102,818.40, 154,243.80 and 32,704.80 is: 49,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,818.40 : 154,243.80 = 32,704.80 : x
  2. Step 2: Convert to fraction form
    102,818.40/154,243.80 = 32,704.80/x
  3. Step 3: Cross multiply
    102,818.40x = 154,243.80 × 32,704.80
  4. Step 4: Simplify right side
    102,818.40x = 5,044,512,630.24
  5. Step 5: Solve for x
    x = 5,044,512,630.24/102,818.40
  6. Step 6: Final answer
    x = 49,062.35

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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.