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Finding the Fourth Proportional to 71,647.64, 107,307.56 and 34,234.01

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Solution

The fourth proportional to 71,647.64, 107,307.56 and 34,234.01 is: 51,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,647.64 : 107,307.56 = 34,234.01 : x
  2. Step 2: Convert to fraction form
    71,647.64/107,307.56 = 34,234.01/x
  3. Step 3: Cross multiply
    71,647.64x = 107,307.56 × 34,234.01
  4. Step 4: Simplify right side
    71,647.64x = 3,673,567,374.41
  5. Step 5: Solve for x
    x = 3,673,567,374.41/71,647.64
  6. Step 6: Final answer
    x = 51,272.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.