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Finding the Fourth Proportional to 52,113.74, 78,175.22 and 14,674.14

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Solution

The fourth proportional to 52,113.74, 78,175.22 and 14,674.14 is: 22,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113.74 : 78,175.22 = 14,674.14 : x
  2. Step 2: Convert to fraction form
    52,113.74/78,175.22 = 14,674.14/x
  3. Step 3: Cross multiply
    52,113.74x = 78,175.22 × 14,674.14
  4. Step 4: Simplify right side
    52,113.74x = 1,147,154,049.44
  5. Step 5: Solve for x
    x = 1,147,154,049.44/52,113.74
  6. Step 6: Final answer
    x = 22,012.51

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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.