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Finding the Fourth Proportional to 32,456.97, 44,775 and 19,019.88

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Solution

The fourth proportional to 32,456.97, 44,775 and 19,019.88 is: 26,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456.97 : 44,775 = 19,019.88 : x
  2. Step 2: Convert to fraction form
    32,456.97/44,775 = 19,019.88/x
  3. Step 3: Cross multiply
    32,456.97x = 44,775 × 19,019.88
  4. Step 4: Simplify right side
    32,456.97x = 851,615,127
  5. Step 5: Solve for x
    x = 851,615,127/32,456.97
  6. Step 6: Final answer
    x = 26,238.28

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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.