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Finding the Fourth Proportional to 40,175.08, 55,445.52 and 23,407

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Solution

The fourth proportional to 40,175.08, 55,445.52 and 23,407 is: 32,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,175.08 : 55,445.52 = 23,407 : x
  2. Step 2: Convert to fraction form
    40,175.08/55,445.52 = 23,407/x
  3. Step 3: Cross multiply
    40,175.08x = 55,445.52 × 23,407
  4. Step 4: Simplify right side
    40,175.08x = 1,297,813,286.64
  5. Step 5: Solve for x
    x = 1,297,813,286.64/40,175.08
  6. Step 6: Final answer
    x = 32,303.94

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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.