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Finding the Fourth Proportional to 47,362.70, 65,373.40 and 27,221.64

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Solution

The fourth proportional to 47,362.70, 65,373.40 and 27,221.64 is: 37,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,362.70 : 65,373.40 = 27,221.64 : x
  2. Step 2: Convert to fraction form
    47,362.70/65,373.40 = 27,221.64/x
  3. Step 3: Cross multiply
    47,362.70x = 65,373.40 × 27,221.64
  4. Step 4: Simplify right side
    47,362.70x = 1,779,571,160.38
  5. Step 5: Solve for x
    x = 1,779,571,160.38/47,362.70
  6. Step 6: Final answer
    x = 37,573.26

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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.