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Finding the Fourth Proportional to 38,726, 58,098.72 and 11,024

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Solution

The fourth proportional to 38,726, 58,098.72 and 11,024 is: 16,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,726 : 58,098.72 = 11,024 : x
  2. Step 2: Convert to fraction form
    38,726/58,098.72 = 11,024/x
  3. Step 3: Cross multiply
    38,726x = 58,098.72 × 11,024
  4. Step 4: Simplify right side
    38,726x = 640,480,289.28
  5. Step 5: Solve for x
    x = 640,480,289.28/38,726
  6. Step 6: Final answer
    x = 16,538.77

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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.