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Finding the Fourth Proportional to 37,292.82, 51,471 and 21,377.40

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Solution

The fourth proportional to 37,292.82, 51,471 and 21,377.40 is: 29,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,292.82 : 51,471 = 21,377.40 : x
  2. Step 2: Convert to fraction form
    37,292.82/51,471 = 21,377.40/x
  3. Step 3: Cross multiply
    37,292.82x = 51,471 × 21,377.40
  4. Step 4: Simplify right side
    37,292.82x = 1,100,316,155.40
  5. Step 5: Solve for x
    x = 1,100,316,155.40/37,292.82
  6. Step 6: Final answer
    x = 29,504.77

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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.