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Finding the Fourth Proportional to 47,756.60, 65,885.24 and 27,609.78

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Solution

The fourth proportional to 47,756.60, 65,885.24 and 27,609.78 is: 38,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,756.60 : 65,885.24 = 27,609.78 : x
  2. Step 2: Convert to fraction form
    47,756.60/65,885.24 = 27,609.78/x
  3. Step 3: Cross multiply
    47,756.60x = 65,885.24 × 27,609.78
  4. Step 4: Simplify right side
    47,756.60x = 1,819,076,981.65
  5. Step 5: Solve for x
    x = 1,819,076,981.65/47,756.60
  6. Step 6: Final answer
    x = 38,090.59

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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.