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Finding the Fourth Proportional to 45,854.96, 63,291.09 and 27,959.82

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Solution

The fourth proportional to 45,854.96, 63,291.09 and 27,959.82 is: 38,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,854.96 : 63,291.09 = 27,959.82 : x
  2. Step 2: Convert to fraction form
    45,854.96/63,291.09 = 27,959.82/x
  3. Step 3: Cross multiply
    45,854.96x = 63,291.09 × 27,959.82
  4. Step 4: Simplify right side
    45,854.96x = 1,769,607,484.00
  5. Step 5: Solve for x
    x = 1,769,607,484.00/45,854.96
  6. Step 6: Final answer
    x = 38,591.41

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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.