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Finding the Fourth Proportional to 38,356.87, 52,931 and 21,361.83

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Solution

The fourth proportional to 38,356.87, 52,931 and 21,361.83 is: 29,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,356.87 : 52,931 = 21,361.83 : x
  2. Step 2: Convert to fraction form
    38,356.87/52,931 = 21,361.83/x
  3. Step 3: Cross multiply
    38,356.87x = 52,931 × 21,361.83
  4. Step 4: Simplify right side
    38,356.87x = 1,130,703,023.73
  5. Step 5: Solve for x
    x = 1,130,703,023.73/38,356.87
  6. Step 6: Final answer
    x = 29,478.50

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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.