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Finding the Fourth Proportional to 47,537.38, 65,604 and 27,397.54

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Solution

The fourth proportional to 47,537.38, 65,604 and 27,397.54 is: 37,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537.38 : 65,604 = 27,397.54 : x
  2. Step 2: Convert to fraction form
    47,537.38/65,604 = 27,397.54/x
  3. Step 3: Cross multiply
    47,537.38x = 65,604 × 27,397.54
  4. Step 4: Simplify right side
    47,537.38x = 1,797,388,214.16
  5. Step 5: Solve for x
    x = 1,797,388,214.16/47,537.38
  6. Step 6: Final answer
    x = 37,810.00

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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.