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Finding the Fourth Proportional to 41,905, 57,828.90 and 25,143.40

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Solution

The fourth proportional to 41,905, 57,828.90 and 25,143.40 is: 34,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,905 : 57,828.90 = 25,143.40 : x
  2. Step 2: Convert to fraction form
    41,905/57,828.90 = 25,143.40/x
  3. Step 3: Cross multiply
    41,905x = 57,828.90 × 25,143.40
  4. Step 4: Simplify right side
    41,905x = 1,454,015,164.26
  5. Step 5: Solve for x
    x = 1,454,015,164.26/41,905
  6. Step 6: Final answer
    x = 34,697.89

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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.