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Finding the Fourth Proportional to 47,538.51, 65,598.17 and 27,391.38

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Solution

The fourth proportional to 47,538.51, 65,598.17 and 27,391.38 is: 37,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538.51 : 65,598.17 = 27,391.38 : x
  2. Step 2: Convert to fraction form
    47,538.51/65,598.17 = 27,391.38/x
  3. Step 3: Cross multiply
    47,538.51x = 65,598.17 × 27,391.38
  4. Step 4: Simplify right side
    47,538.51x = 1,796,824,264.82
  5. Step 5: Solve for x
    x = 1,796,824,264.82/47,538.51
  6. Step 6: Final answer
    x = 37,797.24

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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.