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Finding the Fourth Proportional to 55,100.12, 82,651.74 and 13,547

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Solution

The fourth proportional to 55,100.12, 82,651.74 and 13,547 is: 20,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,100.12 : 82,651.74 = 13,547 : x
  2. Step 2: Convert to fraction form
    55,100.12/82,651.74 = 13,547/x
  3. Step 3: Cross multiply
    55,100.12x = 82,651.74 × 13,547
  4. Step 4: Simplify right side
    55,100.12x = 1,119,683,121.78
  5. Step 5: Solve for x
    x = 1,119,683,121.78/55,100.12
  6. Step 6: Final answer
    x = 20,320.88

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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.