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Finding the Fourth Proportional to 47,852.58, 66,040.37 and 27,709.81

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Solution

The fourth proportional to 47,852.58, 66,040.37 and 27,709.81 is: 38,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,852.58 : 66,040.37 = 27,709.81 : x
  2. Step 2: Convert to fraction form
    47,852.58/66,040.37 = 27,709.81/x
  3. Step 3: Cross multiply
    47,852.58x = 66,040.37 × 27,709.81
  4. Step 4: Simplify right side
    47,852.58x = 1,829,966,354.70
  5. Step 5: Solve for x
    x = 1,829,966,354.70/47,852.58
  6. Step 6: Final answer
    x = 38,241.75

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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.