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Finding the Fourth Proportional to 47,715.34, 65,850.16 and 27,575.90

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Solution

The fourth proportional to 47,715.34, 65,850.16 and 27,575.90 is: 38,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,715.34 : 65,850.16 = 27,575.90 : x
  2. Step 2: Convert to fraction form
    47,715.34/65,850.16 = 27,575.90/x
  3. Step 3: Cross multiply
    47,715.34x = 65,850.16 × 27,575.90
  4. Step 4: Simplify right side
    47,715.34x = 1,815,877,427.14
  5. Step 5: Solve for x
    x = 1,815,877,427.14/47,715.34
  6. Step 6: Final answer
    x = 38,056.47

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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.