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Finding the Fourth Proportional to 38,703.24, 53,410.86 and 21,708.09

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Solution

The fourth proportional to 38,703.24, 53,410.86 and 21,708.09 is: 29,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,703.24 : 53,410.86 = 21,708.09 : x
  2. Step 2: Convert to fraction form
    38,703.24/53,410.86 = 21,708.09/x
  3. Step 3: Cross multiply
    38,703.24x = 53,410.86 × 21,708.09
  4. Step 4: Simplify right side
    38,703.24x = 1,159,447,755.86
  5. Step 5: Solve for x
    x = 1,159,447,755.86/38,703.24
  6. Step 6: Final answer
    x = 29,957.38

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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.