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Finding the Fourth Proportional to 27,078.50, 40,612.96 and 7,358.60

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Solution

The fourth proportional to 27,078.50, 40,612.96 and 7,358.60 is: 11,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078.50 : 40,612.96 = 7,358.60 : x
  2. Step 2: Convert to fraction form
    27,078.50/40,612.96 = 7,358.60/x
  3. Step 3: Cross multiply
    27,078.50x = 40,612.96 × 7,358.60
  4. Step 4: Simplify right side
    27,078.50x = 298,854,527.46
  5. Step 5: Solve for x
    x = 298,854,527.46/27,078.50
  6. Step 6: Final answer
    x = 11,036.60

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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.