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Finding the Fourth Proportional to 38,662.10, 53,358.14 and 21,670.94

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Solution

The fourth proportional to 38,662.10, 53,358.14 and 21,670.94 is: 29,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.10 : 53,358.14 = 21,670.94 : x
  2. Step 2: Convert to fraction form
    38,662.10/53,358.14 = 21,670.94/x
  3. Step 3: Cross multiply
    38,662.10x = 53,358.14 × 21,670.94
  4. Step 4: Simplify right side
    38,662.10x = 1,156,321,050.45
  5. Step 5: Solve for x
    x = 1,156,321,050.45/38,662.10
  6. Step 6: Final answer
    x = 29,908.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.