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Finding the Fourth Proportional to 75,136.64, 103,690.08 and 41,603.84

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Solution

The fourth proportional to 75,136.64, 103,690.08 and 41,603.84 is: 57,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,136.64 : 103,690.08 = 41,603.84 : x
  2. Step 2: Convert to fraction form
    75,136.64/103,690.08 = 41,603.84/x
  3. Step 3: Cross multiply
    75,136.64x = 103,690.08 × 41,603.84
  4. Step 4: Simplify right side
    75,136.64x = 4,313,905,497.91
  5. Step 5: Solve for x
    x = 4,313,905,497.91/75,136.64
  6. Step 6: Final answer
    x = 57,414.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.