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Finding the Fourth Proportional to 69,096.76, 103,651.62 and 27,547

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Solution

The fourth proportional to 69,096.76, 103,651.62 and 27,547 is: 41,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,096.76 : 103,651.62 = 27,547 : x
  2. Step 2: Convert to fraction form
    69,096.76/103,651.62 = 27,547/x
  3. Step 3: Cross multiply
    69,096.76x = 103,651.62 × 27,547
  4. Step 4: Simplify right side
    69,096.76x = 2,855,291,176.14
  5. Step 5: Solve for x
    x = 2,855,291,176.14/69,096.76
  6. Step 6: Final answer
    x = 41,323.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.