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Finding the Fourth Proportional to 58,136.96, 80,204.64 and 35,768

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Solution

The fourth proportional to 58,136.96, 80,204.64 and 35,768 is: 49,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,136.96 : 80,204.64 = 35,768 : x
  2. Step 2: Convert to fraction form
    58,136.96/80,204.64 = 35,768/x
  3. Step 3: Cross multiply
    58,136.96x = 80,204.64 × 35,768
  4. Step 4: Simplify right side
    58,136.96x = 2,868,759,563.52
  5. Step 5: Solve for x
    x = 2,868,759,563.52/58,136.96
  6. Step 6: Final answer
    x = 49,344.85

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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.