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Finding the Fourth Proportional to 27,475.63, 37,916.39 and 14,900.38

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Solution

The fourth proportional to 27,475.63, 37,916.39 and 14,900.38 is: 20,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475.63 : 37,916.39 = 14,900.38 : x
  2. Step 2: Convert to fraction form
    27,475.63/37,916.39 = 14,900.38/x
  3. Step 3: Cross multiply
    27,475.63x = 37,916.39 × 14,900.38
  4. Step 4: Simplify right side
    27,475.63x = 564,968,355.14
  5. Step 5: Solve for x
    x = 564,968,355.14/27,475.63
  6. Step 6: Final answer
    x = 20,562.53

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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.