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Finding the Fourth Proportional to 55,439.64, 76,506.64 and 29,946

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Solution

The fourth proportional to 55,439.64, 76,506.64 and 29,946 is: 41,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,439.64 : 76,506.64 = 29,946 : x
  2. Step 2: Convert to fraction form
    55,439.64/76,506.64 = 29,946/x
  3. Step 3: Cross multiply
    55,439.64x = 76,506.64 × 29,946
  4. Step 4: Simplify right side
    55,439.64x = 2,291,067,841.44
  5. Step 5: Solve for x
    x = 2,291,067,841.44/55,439.64
  6. Step 6: Final answer
    x = 41,325.45

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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.