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Finding the Fourth Proportional to 47,697.66, 65,825.06 and 27,557.21

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Solution

The fourth proportional to 47,697.66, 65,825.06 and 27,557.21 is: 38,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.66 : 65,825.06 = 27,557.21 : x
  2. Step 2: Convert to fraction form
    47,697.66/65,825.06 = 27,557.21/x
  3. Step 3: Cross multiply
    47,697.66x = 65,825.06 × 27,557.21
  4. Step 4: Simplify right side
    47,697.66x = 1,813,955,028.46
  5. Step 5: Solve for x
    x = 1,813,955,028.46/47,697.66
  6. Step 6: Final answer
    x = 38,030.27

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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.