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Finding the Fourth Proportional to 47,754.76, 65,907.31 and 27,616.59

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Solution

The fourth proportional to 47,754.76, 65,907.31 and 27,616.59 is: 38,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754.76 : 65,907.31 = 27,616.59 : x
  2. Step 2: Convert to fraction form
    47,754.76/65,907.31 = 27,616.59/x
  3. Step 3: Cross multiply
    47,754.76x = 65,907.31 × 27,616.59
  4. Step 4: Simplify right side
    47,754.76x = 1,820,134,828.74
  5. Step 5: Solve for x
    x = 1,820,134,828.74/47,754.76
  6. Step 6: Final answer
    x = 38,114.21

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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.