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Finding the Fourth Proportional to 69,136.34, 103,681.44 and 27,005.49

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Solution

The fourth proportional to 69,136.34, 103,681.44 and 27,005.49 is: 40,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,136.34 : 103,681.44 = 27,005.49 : x
  2. Step 2: Convert to fraction form
    69,136.34/103,681.44 = 27,005.49/x
  3. Step 3: Cross multiply
    69,136.34x = 103,681.44 × 27,005.49
  4. Step 4: Simplify right side
    69,136.34x = 2,799,968,091.11
  5. Step 5: Solve for x
    x = 2,799,968,091.11/69,136.34
  6. Step 6: Final answer
    x = 40,499.22

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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.