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Finding the Fourth Proportional to 38,385.82, 52,972.32 and 21,390.22

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Solution

The fourth proportional to 38,385.82, 52,972.32 and 21,390.22 is: 29,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,385.82 : 52,972.32 = 21,390.22 : x
  2. Step 2: Convert to fraction form
    38,385.82/52,972.32 = 21,390.22/x
  3. Step 3: Cross multiply
    38,385.82x = 52,972.32 × 21,390.22
  4. Step 4: Simplify right side
    38,385.82x = 1,133,089,578.71
  5. Step 5: Solve for x
    x = 1,133,089,578.71/38,385.82
  6. Step 6: Final answer
    x = 29,518.44

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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.