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Finding the Fourth Proportional to 102,940.48, 154,409.10 and 32,819.32

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Solution

The fourth proportional to 102,940.48, 154,409.10 and 32,819.32 is: 49,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,940.48 : 154,409.10 = 32,819.32 : x
  2. Step 2: Convert to fraction form
    102,940.48/154,409.10 = 32,819.32/x
  3. Step 3: Cross multiply
    102,940.48x = 154,409.10 × 32,819.32
  4. Step 4: Simplify right side
    102,940.48x = 5,067,601,663.81
  5. Step 5: Solve for x
    x = 5,067,601,663.81/102,940.48
  6. Step 6: Final answer
    x = 49,228.46

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1.5x scale

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.