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Finding the Fourth Proportional to 47,191.85, 65,123.15 and 25,971.06

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Solution

The fourth proportional to 47,191.85, 65,123.15 and 25,971.06 is: 35,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,191.85 : 65,123.15 = 25,971.06 : x
  2. Step 2: Convert to fraction form
    47,191.85/65,123.15 = 25,971.06/x
  3. Step 3: Cross multiply
    47,191.85x = 65,123.15 × 25,971.06
  4. Step 4: Simplify right side
    47,191.85x = 1,691,317,106.18
  5. Step 5: Solve for x
    x = 1,691,317,106.18/47,191.85
  6. Step 6: Final answer
    x = 35,839.18

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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.