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Finding the Fourth Proportional to 38,344.56, 52,901.76 and 21,577.56

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Solution

The fourth proportional to 38,344.56, 52,901.76 and 21,577.56 is: 29,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,344.56 : 52,901.76 = 21,577.56 : x
  2. Step 2: Convert to fraction form
    38,344.56/52,901.76 = 21,577.56/x
  3. Step 3: Cross multiply
    38,344.56x = 52,901.76 × 21,577.56
  4. Step 4: Simplify right side
    38,344.56x = 1,141,490,900.51
  5. Step 5: Solve for x
    x = 1,141,490,900.51/38,344.56
  6. Step 6: Final answer
    x = 29,769.30

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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.