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Finding the Fourth Proportional to 38,707, 58,070.26 and 11,005

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Solution

The fourth proportional to 38,707, 58,070.26 and 11,005 is: 16,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,707 : 58,070.26 = 11,005 : x
  2. Step 2: Convert to fraction form
    38,707/58,070.26 = 11,005/x
  3. Step 3: Cross multiply
    38,707x = 58,070.26 × 11,005
  4. Step 4: Simplify right side
    38,707x = 639,063,211.30
  5. Step 5: Solve for x
    x = 639,063,211.30/38,707
  6. Step 6: Final answer
    x = 16,510.27

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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.