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Finding the Fourth Proportional to 32,440.34, 48,660.42 and 7,816.34

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Solution

The fourth proportional to 32,440.34, 48,660.42 and 7,816.34 is: 11,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440.34 : 48,660.42 = 7,816.34 : x
  2. Step 2: Convert to fraction form
    32,440.34/48,660.42 = 7,816.34/x
  3. Step 3: Cross multiply
    32,440.34x = 48,660.42 × 7,816.34
  4. Step 4: Simplify right side
    32,440.34x = 380,346,387.26
  5. Step 5: Solve for x
    x = 380,346,387.26/32,440.34
  6. Step 6: Final answer
    x = 11,724.49

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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.