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Finding the Fourth Proportional to 47,684.34, 65,807.50 and 27,542.07

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Solution

The fourth proportional to 47,684.34, 65,807.50 and 27,542.07 is: 38,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.34 : 65,807.50 = 27,542.07 : x
  2. Step 2: Convert to fraction form
    47,684.34/65,807.50 = 27,542.07/x
  3. Step 3: Cross multiply
    47,684.34x = 65,807.50 × 27,542.07
  4. Step 4: Simplify right side
    47,684.34x = 1,812,474,771.53
  5. Step 5: Solve for x
    x = 1,812,474,771.53/47,684.34
  6. Step 6: Final answer
    x = 38,009.85

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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.