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Finding the Fourth Proportional to 46,491.10, 64,174.17 and 27,628

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Solution

The fourth proportional to 46,491.10, 64,174.17 and 27,628 is: 38,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,491.10 : 64,174.17 = 27,628 : x
  2. Step 2: Convert to fraction form
    46,491.10/64,174.17 = 27,628/x
  3. Step 3: Cross multiply
    46,491.10x = 64,174.17 × 27,628
  4. Step 4: Simplify right side
    46,491.10x = 1,773,004,037.83
  5. Step 5: Solve for x
    x = 1,773,004,037.83/46,491.10
  6. Step 6: Final answer
    x = 38,136.42

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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.