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Finding the Fourth Proportional to 51,772.13, 77,676.42 and 25,495.32

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Solution

The fourth proportional to 51,772.13, 77,676.42 and 25,495.32 is: 38,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772.13 : 77,676.42 = 25,495.32 : x
  2. Step 2: Convert to fraction form
    51,772.13/77,676.42 = 25,495.32/x
  3. Step 3: Cross multiply
    51,772.13x = 77,676.42 × 25,495.32
  4. Step 4: Simplify right side
    51,772.13x = 1,980,385,184.35
  5. Step 5: Solve for x
    x = 1,980,385,184.35/51,772.13
  6. Step 6: Final answer
    x = 38,251.96

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