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Finding the Fourth Proportional to 38,462.39, 53,078.07 and 21,695.39

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Solution

The fourth proportional to 38,462.39, 53,078.07 and 21,695.39 is: 29,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.39 : 53,078.07 = 21,695.39 : x
  2. Step 2: Convert to fraction form
    38,462.39/53,078.07 = 21,695.39/x
  3. Step 3: Cross multiply
    38,462.39x = 53,078.07 × 21,695.39
  4. Step 4: Simplify right side
    38,462.39x = 1,151,549,429.10
  5. Step 5: Solve for x
    x = 1,151,549,429.10/38,462.39
  6. Step 6: Final answer
    x = 29,939.62

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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.