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Finding the Fourth Proportional to 46,649.57, 64,375.99 and 25,428.38

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Solution

The fourth proportional to 46,649.57, 64,375.99 and 25,428.38 is: 35,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,649.57 : 64,375.99 = 25,428.38 : x
  2. Step 2: Convert to fraction form
    46,649.57/64,375.99 = 25,428.38/x
  3. Step 3: Cross multiply
    46,649.57x = 64,375.99 × 25,428.38
  4. Step 4: Simplify right side
    46,649.57x = 1,636,977,136.60
  5. Step 5: Solve for x
    x = 1,636,977,136.60/46,649.57
  6. Step 6: Final answer
    x = 35,090.94

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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.