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Finding the Fourth Proportional to 102,847.76, 154,238.56 and 32,710.64

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Solution

The fourth proportional to 102,847.76, 154,238.56 and 32,710.64 is: 49,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,847.76 : 154,238.56 = 32,710.64 : x
  2. Step 2: Convert to fraction form
    102,847.76/154,238.56 = 32,710.64/x
  3. Step 3: Cross multiply
    102,847.76x = 154,238.56 × 32,710.64
  4. Step 4: Simplify right side
    102,847.76x = 5,045,242,010.28
  5. Step 5: Solve for x
    x = 5,045,242,010.28/102,847.76
  6. Step 6: Final answer
    x = 49,055.44

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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.