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Finding the Fourth Proportional to 58,656.44, 80,943.78 and 34,769

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Solution

The fourth proportional to 58,656.44, 80,943.78 and 34,769 is: 47,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,656.44 : 80,943.78 = 34,769 : x
  2. Step 2: Convert to fraction form
    58,656.44/80,943.78 = 34,769/x
  3. Step 3: Cross multiply
    58,656.44x = 80,943.78 × 34,769
  4. Step 4: Simplify right side
    58,656.44x = 2,814,334,286.82
  5. Step 5: Solve for x
    x = 2,814,334,286.82/58,656.44
  6. Step 6: Final answer
    x = 47,979.97

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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.