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Finding the Fourth Proportional to 102,842.70, 154,264.05 and 32,729.10

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Solution

The fourth proportional to 102,842.70, 154,264.05 and 32,729.10 is: 49,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,842.70 : 154,264.05 = 32,729.10 : x
  2. Step 2: Convert to fraction form
    102,842.70/154,264.05 = 32,729.10/x
  3. Step 3: Cross multiply
    102,842.70x = 154,264.05 × 32,729.10
  4. Step 4: Simplify right side
    102,842.70x = 5,048,923,518.86
  5. Step 5: Solve for x
    x = 5,048,923,518.86/102,842.70
  6. Step 6: Final answer
    x = 49,093.65

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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.