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Finding the Fourth Proportional to 48,381, 72,503.44 and 38,476.32

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Solution

The fourth proportional to 48,381, 72,503.44 and 38,476.32 is: 57,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,381 : 72,503.44 = 38,476.32 : x
  2. Step 2: Convert to fraction form
    48,381/72,503.44 = 38,476.32/x
  3. Step 3: Cross multiply
    48,381x = 72,503.44 × 38,476.32
  4. Step 4: Simplify right side
    48,381x = 2,789,665,558.54
  5. Step 5: Solve for x
    x = 2,789,665,558.54/48,381
  6. Step 6: Final answer
    x = 57,660.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.