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Finding the Fourth Proportional to 47,575.54, 65,548.50 and 31,414.06

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Solution

The fourth proportional to 47,575.54, 65,548.50 and 31,414.06 is: 43,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,575.54 : 65,548.50 = 31,414.06 : x
  2. Step 2: Convert to fraction form
    47,575.54/65,548.50 = 31,414.06/x
  3. Step 3: Cross multiply
    47,575.54x = 65,548.50 × 31,414.06
  4. Step 4: Simplify right side
    47,575.54x = 2,059,144,511.91
  5. Step 5: Solve for x
    x = 2,059,144,511.91/47,575.54
  6. Step 6: Final answer
    x = 43,281.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.