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Finding the Fourth Proportional to 100,744.36, 150,918.42 and 58,535.84

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Solution

The fourth proportional to 100,744.36, 150,918.42 and 58,535.84 is: 87,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,744.36 : 150,918.42 = 58,535.84 : x
  2. Step 2: Convert to fraction form
    100,744.36/150,918.42 = 58,535.84/x
  3. Step 3: Cross multiply
    100,744.36x = 150,918.42 × 58,535.84
  4. Step 4: Simplify right side
    100,744.36x = 8,834,136,486.17
  5. Step 5: Solve for x
    x = 8,834,136,486.17/100,744.36
  6. Step 6: Final answer
    x = 87,688.65

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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.