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Finding the Fourth Proportional to 38,195.47, 52,705.47 and 21,200.43

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Solution

The fourth proportional to 38,195.47, 52,705.47 and 21,200.43 is: 29,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.47 : 52,705.47 = 21,200.43 : x
  2. Step 2: Convert to fraction form
    38,195.47/52,705.47 = 21,200.43/x
  3. Step 3: Cross multiply
    38,195.47x = 52,705.47 × 21,200.43
  4. Step 4: Simplify right side
    38,195.47x = 1,117,378,363.82
  5. Step 5: Solve for x
    x = 1,117,378,363.82/38,195.47
  6. Step 6: Final answer
    x = 29,254.22

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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.