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Finding the Fourth Proportional to 45,788.50, 63,184.66 and 27,881.52

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Solution

The fourth proportional to 45,788.50, 63,184.66 and 27,881.52 is: 38,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,788.50 : 63,184.66 = 27,881.52 : x
  2. Step 2: Convert to fraction form
    45,788.50/63,184.66 = 27,881.52/x
  3. Step 3: Cross multiply
    45,788.50x = 63,184.66 × 27,881.52
  4. Step 4: Simplify right side
    45,788.50x = 1,761,684,361.48
  5. Step 5: Solve for x
    x = 1,761,684,361.48/45,788.50
  6. Step 6: Final answer
    x = 38,474.38

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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.