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Finding the Fourth Proportional to 73,071.02, 109,540.74 and 26,291

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Solution

The fourth proportional to 73,071.02, 109,540.74 and 26,291 is: 39,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,071.02 : 109,540.74 = 26,291 : x
  2. Step 2: Convert to fraction form
    73,071.02/109,540.74 = 26,291/x
  3. Step 3: Cross multiply
    73,071.02x = 109,540.74 × 26,291
  4. Step 4: Simplify right side
    73,071.02x = 2,879,935,595.34
  5. Step 5: Solve for x
    x = 2,879,935,595.34/73,071.02
  6. Step 6: Final answer
    x = 39,412.83

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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.