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Finding the Fourth Proportional to 44,175.16, 66,260.58 and 16,471

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Solution

The fourth proportional to 44,175.16, 66,260.58 and 16,471 is: 24,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,175.16 : 66,260.58 = 16,471 : x
  2. Step 2: Convert to fraction form
    44,175.16/66,260.58 = 16,471/x
  3. Step 3: Cross multiply
    44,175.16x = 66,260.58 × 16,471
  4. Step 4: Simplify right side
    44,175.16x = 1,091,378,013.18
  5. Step 5: Solve for x
    x = 1,091,378,013.18/44,175.16
  6. Step 6: Final answer
    x = 24,705.69

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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.