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Finding the Fourth Proportional to 38,467.80, 53,078.70 and 21,700.80

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Solution

The fourth proportional to 38,467.80, 53,078.70 and 21,700.80 is: 29,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467.80 : 53,078.70 = 21,700.80 : x
  2. Step 2: Convert to fraction form
    38,467.80/53,078.70 = 21,700.80/x
  3. Step 3: Cross multiply
    38,467.80x = 53,078.70 × 21,700.80
  4. Step 4: Simplify right side
    38,467.80x = 1,151,850,252.96
  5. Step 5: Solve for x
    x = 1,151,850,252.96/38,467.80
  6. Step 6: Final answer
    x = 29,943.23

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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.