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Finding the Fourth Proportional to 33,254.64, 45,901 and 19,655.28

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Solution

The fourth proportional to 33,254.64, 45,901 and 19,655.28 is: 27,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254.64 : 45,901 = 19,655.28 : x
  2. Step 2: Convert to fraction form
    33,254.64/45,901 = 19,655.28/x
  3. Step 3: Cross multiply
    33,254.64x = 45,901 × 19,655.28
  4. Step 4: Simplify right side
    33,254.64x = 902,197,007.28
  5. Step 5: Solve for x
    x = 902,197,007.28/33,254.64
  6. Step 6: Final answer
    x = 27,129.96

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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.