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Finding the Fourth Proportional to 38,776.24, 58,076.88 and 17,956

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Solution

The fourth proportional to 38,776.24, 58,076.88 and 17,956 is: 26,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,776.24 : 58,076.88 = 17,956 : x
  2. Step 2: Convert to fraction form
    38,776.24/58,076.88 = 17,956/x
  3. Step 3: Cross multiply
    38,776.24x = 58,076.88 × 17,956
  4. Step 4: Simplify right side
    38,776.24x = 1,042,828,457.28
  5. Step 5: Solve for x
    x = 1,042,828,457.28/38,776.24
  6. Step 6: Final answer
    x = 26,893.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.