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Finding the Fourth Proportional to 37,947, 52,367.40 and 21,180

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Solution

The fourth proportional to 37,947, 52,367.40 and 21,180 is: 29,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,947 : 52,367.40 = 21,180 : x
  2. Step 2: Convert to fraction form
    37,947/52,367.40 = 21,180/x
  3. Step 3: Cross multiply
    37,947x = 52,367.40 × 21,180
  4. Step 4: Simplify right side
    37,947x = 1,109,141,532
  5. Step 5: Solve for x
    x = 1,109,141,532/37,947
  6. Step 6: Final answer
    x = 29,228.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.