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Finding the Fourth Proportional to 47,222.78, 65,146.38 and 31,904.42

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Solution

The fourth proportional to 47,222.78, 65,146.38 and 31,904.42 is: 44,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,222.78 : 65,146.38 = 31,904.42 : x
  2. Step 2: Convert to fraction form
    47,222.78/65,146.38 = 31,904.42/x
  3. Step 3: Cross multiply
    47,222.78x = 65,146.38 × 31,904.42
  4. Step 4: Simplify right side
    47,222.78x = 2,078,457,023.63
  5. Step 5: Solve for x
    x = 2,078,457,023.63/47,222.78
  6. Step 6: Final answer
    x = 44,013.86

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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.