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Finding the Fourth Proportional to 32,239.36, 48,358.92 and 10,054

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Solution

The fourth proportional to 32,239.36, 48,358.92 and 10,054 is: 15,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,239.36 : 48,358.92 = 10,054 : x
  2. Step 2: Convert to fraction form
    32,239.36/48,358.92 = 10,054/x
  3. Step 3: Cross multiply
    32,239.36x = 48,358.92 × 10,054
  4. Step 4: Simplify right side
    32,239.36x = 486,200,581.68
  5. Step 5: Solve for x
    x = 486,200,581.68/32,239.36
  6. Step 6: Final answer
    x = 15,080.96

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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.